{"id":6497,"date":"2025-10-22T17:20:30","date_gmt":"2025-10-22T22:20:30","guid":{"rendered":"https:\/\/www.ezcalculatoronline.com\/?page_id=6497"},"modified":"2026-05-12T23:36:56","modified_gmt":"2026-05-13T04:36:56","slug":"greatest-common-factor-calculator","status":"publish","type":"page","link":"https:\/\/www.ezcalculatoronline.com\/math\/greatest-common-factor-calculator\/","title":{"rendered":"Greatest Common Factor Calculator"},"content":{"rendered":"<div id=\"tdi_1\" class=\"tdc-zone\"><div class=\"tdc_zone tdi_2  wpb_row td-pb-row\"  >\n<style scoped>\n\n\/* custom css *\/\n.tdi_2{\r\n                    min-height: 0;\r\n                }\n<\/style><div id=\"tdi_3\" class=\"tdc-row\"><div class=\"vc_row tdi_4  wpb_row td-pb-row\" >\n<style scoped>\n\n\/* custom css *\/\n.tdi_4,\r\n                .tdi_4 .tdc-columns{\r\n                    min-height: 0;\r\n                }.tdi_4,\r\n\t\t\t\t.tdi_4 .tdc-columns{\r\n\t\t\t\t    display: block;\r\n\t\t\t\t}.tdi_4 .tdc-columns{\r\n\t\t\t\t    width: 100%;\r\n\t\t\t\t}\n<\/style><div class=\"vc_column tdi_6  wpb_column vc_column_container tdc-column td-pb-span8\">\n<style scoped>\n\n\/* custom css *\/\n.tdi_6{\r\n                    vertical-align: baseline;\r\n                }.tdi_6 > .wpb_wrapper,\r\n\t\t\t\t.tdi_6 > .wpb_wrapper > .tdc-elements{\r\n\t\t\t\t    display: block;\r\n\t\t\t\t}.tdi_6 > .wpb_wrapper > .tdc-elements{\r\n\t\t\t\t    width: 100%;\r\n\t\t\t\t}.tdi_6 > .wpb_wrapper > .vc_row_inner{\r\n\t\t\t\t    width: auto;\r\n\t\t\t\t}.tdi_6 > .wpb_wrapper{\r\n\t\t\t\t    width: auto;\r\n\t\t\t\t    height: auto;\r\n\t\t\t\t}\n<\/style><div class=\"wpb_wrapper\" ><div class=\"wpb_wrapper td_block_wrap vc_raw_html tdi_8 \">\n<style scoped>\n\n\/* inline tdc_css att *\/\n\n.tdi_8{\npadding-top:20px !important;\n}\n\n<\/style><div class=\"td-fix-index\"><!doctype html>\n<html lang=\"en\">\n<head>\n  <meta charset=\"utf-8\" \/>\n  <meta name=\"viewport\" content=\"width=device-width, initial-scale=1\" \/>\n  <title>Greatest Common Factor Calculator<\/title>\n  <style>\n:root {\n  --bg: #ffffff;        \/* n\u1ec1n ch\u00ednh tr\u1eafng *\/\n  --card: #f8f9fa;      \/* card n\u1ec1n s\u00e1ng *\/\n  --accent: #2563eb;    \/* m\u00e0u n\u00fat *\/\n  --accent-hover: #1d4ed8; \/* m\u00e0u hover n\u00fat *\/\n  --muted: #6b7280;     \/* ch\u1eef ph\u1ee5 *\/\n  --border: #e5e7eb;    \/* vi\u1ec1n nh\u1eb9 *\/\n}\n\n* {\n  box-sizing: border-box;\n  margin: 0;\n  padding: 0;\n}\n\nbody {\n  font-family: Inter, system-ui, Segoe UI, Roboto, Helvetica, Arial, sans-serif;\n  background: var(--bg);\n  margin: 0;\n}\n\n.container {\n  max-width: 720px;\n  margin: 0 auto;\n}\n\nheader {\n  text-align: center;\n  margin-bottom: 20px;\n}\n\nh1 {\n  font-size: 24px;\n  font-weight: 600;\n  color: #111827;\n}\n\n.card {\n  background: var(--card);\n  padding: 24px;\n  border-radius: 16px;\n  box-shadow: 0 6px 18px rgba(0, 0, 0, 0.06);\n}\n\nlabel {\n  display: block;\n  font-size: 14px;\n  color: var(--muted);\n  margin-bottom: 8px;\n}\n\ninput[type=text] {\n  width: 100%;\n  padding: 14px 16px;\n  border: 1px solid var(--border);\n  border-radius: 12px;\n  font-size: 16px;\n  margin-bottom: 16px;\n  outline: none;\n  transition: border 0.2s;\n}\n\ninput[type=text]:focus {\n  border-color: var(--accent);\n}\n\n.row {\n  display: flex;\n  flex-wrap: wrap;\n  gap: 12px;\n  margin-top: 12px;\n}\n\n.col {\n  display: flex;\n  gap: 12px;\n  flex: 1 1 100%;\n  flex-wrap: wrap;\n}\n\nbutton {\n  flex: 1 1 calc(50% - 12px);\n  padding: 12px 16px;\n  font-size: 16px;\n  font-weight: 600;\n  border-radius: 12px;\n  border: none;\n  cursor: pointer;\n  background: var(--accent);\n  color: white;\n  transition: background 0.2s, transform 0.1s;\n}\n\nbutton:hover {\n  background: var(--accent-hover);\n  transform: translateY(-1px);\n}\n\nbutton.ghost {\n  background: transparent;\n  color: var(--accent);\n  border: 1px solid rgba(37, 99, 235, 0.3);\n}\n\n.result {\n  margin-top: 20px;\n  padding: 16px;\n  border-radius: 12px;\n  background: #f1f5f9;\n  border: 1px solid var(--border);\n  word-break: break-word;\n  font-size: 15px;\n  min-height: 50px;\n}\n\npre {\n  margin: 0;\n  white-space: pre-wrap;\n  font-family: ui-monospace, SFMono-Regular, Menlo, monospace;\n  font-size: 13px;\n}\n\n.small {\n  font-size: 13px;\n  color: var(--muted);\n}\n\nfooter {\n  margin-top: 20px;\n  text-align: center;\n  color: var(--muted);\n  font-size: 13px;\n}\n\n\/* Responsive mobile *\/\n@media (max-width: 700px) {\n  body {\n    padding: 16px 12px;\n  }\n\n  h1 {\n    font-size: 20px;\n  }\n\n  .card {\n    padding: 20px;\n  }\n\n  input[type=text] {\n    font-size: 15px;\n    padding: 12px 14px;\n  }\n\n  button {\n    flex: 1 1 100%;\n    font-size: 15px;\n    padding: 12px;\n  }\n\n  .col {\n    flex-direction: column;\n  }\n}\n  <\/style>\n<\/head>\n<body>\n  <div class=\"container\">\n    <header>\n      <h1>Greatest Common Factor (GCF) Calculator<\/h1>\n    <\/header>\n\n    <div class=\"card\">\n      <label for=\"numbers\">Enter integers separated by commas or spaces. Example: 48, 180, 32<\/label>\n      <input id=\"numbers\" type=\"text\" placeholder=\"48, 180, 32\" value=\"48,180\" \/>\n      <div class=\"row\">\n        <div class=\"col\">\n          <button id=\"calc\">Calculate GCF<\/button>\n          <button id=\"clear\" class=\"ghost\">Clear<\/button>\n        <\/div>\n        <div style=\"margin-left:auto;display:flex;gap:8px;align-items:center\">\n          <button id=\"copy\" class=\"ghost\">Copy Result<\/button>\n          <button id=\"download\" class=\"ghost\">Download .txt<\/button>\n        <\/div>\n      <\/div>\n\n      <div class=\"result\" id=\"output\" aria-live=\"polite\">\n        <div class=\"small\">Your result will appear here.<\/div>\n      <\/div>\n    <\/div>\n\n    <footer>\n      <div class=\"small\">Supports integers (positive or negative). If all numbers are 0, GCF is undefined.<\/div>\n    <\/footer>\n  <\/div>\n\n  <script>\n    \/\/ Helper: Euclidean algorithm for two integers\n    function gcfTwo(a, b) {\n      a = Math.abs(a); b = Math.abs(b);\n      if (a === 0) return b;\n      if (b === 0) return a;\n      while (b !== 0) {\n        const t = a % b;\n        a = b;\n        b = t;\n      }\n      return a;\n    }\n\n    \/\/ GCF for an array of integers\n    function gcfArray(arr) {\n      if (!arr.length) return 0;\n      let current = Math.abs(arr[0]);\n      for (let i = 1; i < arr.length; i++) {\n        current = gcfTwo(current, arr[i]);\n        if (current === 1) return 1; \/\/ Early exit\n      }\n      return current;\n    }\n\n    \/\/ Step-by-step Euclidean algorithm for two numbers\n    function euclidSteps(a, b) {\n      a = Math.abs(a); b = Math.abs(b);\n      const steps = [];\n      if (a === 0 && b === 0) return ['Both numbers are 0 \u2014 GCF is undefined.'];\n      steps.push(`${a}, ${b}`);\n      while (b !== 0) {\n        const q = Math.floor(a \/ b);\n        const r = a % b;\n        steps.push(`${a} = ${b} \u00d7 ${q} + ${r}`);\n        a = b; b = r;\n      }\n      steps.push(`GCF = ${a}`);\n      return steps;\n    }\n\n    \/\/ Parse input string into an array of integers\n    function parseNumbers(input) {\n      const tokens = input.split(\/[ ,]+\/).map(s => s.trim()).filter(Boolean);\n      const nums = [];\n      for (const t of tokens) {\n        if (!\/^[-+]?\\d+$\/.test(t)) {\n          throw new Error(`Not a valid integer: \"${t}\"`);\n        }\n        nums.push(parseInt(t, 10));\n      }\n      return nums;\n    }\n\n    const numbersInput = document.getElementById('numbers');\n    const calcBtn = document.getElementById('calc');\n    const clearBtn = document.getElementById('clear');\n    const output = document.getElementById('output');\n    const copyBtn = document.getElementById('copy');\n    const downloadBtn = document.getElementById('download');\n\n    function renderResult(html) {\n      output.innerHTML = html;\n    }\n\n    calcBtn.addEventListener('click', () => {\n      const raw = numbersInput.value.trim();\n      try {\n        const nums = parseNumbers(raw);\n        if (nums.length === 0) {\n          renderResult('<div class=\"small\">Please enter at least one integer.<\/div>');\n          return;\n        }\n\n        const allZero = nums.every(n => n === 0);\n        if (allZero) {\n          renderResult('<pre>All numbers are 0 \u2014 GCF is undefined.<\/pre>');\n          return;\n        }\n\n        const result = gcfArray(nums);\n\n        let stepsHtml = '<pre>';\n        if (nums.length === 1) {\n          stepsHtml += `Only one number: GCF = ${Math.abs(nums[0])}`;\n        } else if (nums.length === 2) {\n          const steps = euclidSteps(nums[0], nums[1]);\n          stepsHtml += steps.join('\\n');\n        } else {\n          let cur = nums[0];\n          stepsHtml += `Start: [${nums.join(', ')}]\\n`;\n          for (let i = 1; i < nums.length; i++) {\n            const a = cur; const b = nums[i];\n            stepsHtml += `\\nGCF(${a}, ${b}):\\n` + euclidSteps(a, b).join('\\n') + '\\n';\n            cur = gcfTwo(a, b);\n            stepsHtml += `=> Intermediate result: ${cur}\\n`;\n            if (cur === 1) { stepsHtml += '\\nGCF is 1 \u2014 stopping early.'; break; }\n          }\n          stepsHtml += `\\nFinal GCF = ${result}`;\n        }\n        stepsHtml += '<\/pre>';\n\n        renderResult(`<div><strong>Result: ${result}<\/strong><\/div>${stepsHtml}`);\n\n      } catch (err) {\n        renderResult(`<div class=\"small\" style=\"color:#b91c1c\">Error: ${err.message}<\/div>`);\n      }\n    });\n\n    clearBtn.addEventListener('click', () => {\n      numbersInput.value = '';\n      renderResult('<div class=\"small\">Cleared. Enter new numbers to calculate.<\/div>');\n    });\n\n    copyBtn.addEventListener('click', async () => {\n      const text = output.innerText || output.textContent;\n      try {\n        await navigator.clipboard.writeText(text);\n        copyBtn.textContent = 'Copied!';\n        setTimeout(() => copyBtn.textContent = 'Copy Result', 1600);\n      } catch (e) {\n        alert('Copy failed \u2014 please use Ctrl\/Cmd+C');\n      }\n    });\n\n    downloadBtn.addEventListener('click', () => {\n      const text = output.innerText || output.textContent;\n      const blob = new Blob([text], {type: 'text\/plain;charset=utf-8'});\n      const url = URL.createObjectURL(blob);\n      const a = document.createElement('a');\n      a.href = url; a.download = 'gcf-result.txt';\n      document.body.appendChild(a); a.click(); a.remove();\n      URL.revokeObjectURL(url);\n    });\n\n    numbersInput.addEventListener('keydown', (e) => {\n      if (e.key === 'Enter') { e.preventDefault(); calcBtn.click(); }\n    });\n\n    renderResult('<div class=\"small\">Enter numbers and click \"Calculate GCF\" to see the result and steps.<\/div>');\n  <\/script>\n<\/body>\n<\/html>\n<\/div><\/div><div class=\"wpb_wrapper wpb_text_column td_block_wrap td_block_wrap vc_column_text tdi_9  tagdiv-type td-pb-border-top td_block_template_1\"  data-td-block-uid=\"tdi_9\" ><div class=\"td-block-title-wrap\"><\/div><div class=\"td-fix-index\"><p data-start=\"613\" data-end=\"895\">Need to find the Greatest Common Factor of two or more numbers? Our GCF Calculator makes it fast and easy. Simply enter your integers, click \u201cCalculate,\u201d and get the result instantly. Whether you\u2019re a student, teacher, or math enthusiast, this tool helps simplify your calculations.<\/p>\n<h2 data-start=\"897\" data-end=\"917\"><strong data-start=\"902\" data-end=\"915\">Features:<\/strong><\/h2>\n<ul data-start=\"918\" data-end=\"1378\">\n<li data-start=\"918\" data-end=\"1019\">\n<p data-start=\"920\" data-end=\"1019\"><strong data-start=\"920\" data-end=\"950\">Supports multiple numbers:<\/strong> Enter as many integers as you need, separated by commas or spaces.<\/p>\n<\/li>\n<li data-start=\"1020\" data-end=\"1114\">\n<p data-start=\"1022\" data-end=\"1114\"><strong data-start=\"1022\" data-end=\"1051\">Step-by-step calculation:<\/strong> See how the GCF is determined using the Euclidean algorithm.<\/p>\n<\/li>\n<li data-start=\"1115\" data-end=\"1213\">\n<p data-start=\"1117\" data-end=\"1213\"><strong data-start=\"1117\" data-end=\"1139\">Copy and download:<\/strong> Quickly copy the result or download it as a text file for your records.<\/p>\n<\/li>\n<li data-start=\"1214\" data-end=\"1296\">\n<p data-start=\"1216\" data-end=\"1296\"><strong data-start=\"1216\" data-end=\"1244\">User-friendly interface:<\/strong> Mobile-friendly design with clean, modern layout.<\/p>\n<\/li>\n<li data-start=\"1297\" data-end=\"1378\">\n<p data-start=\"1299\" data-end=\"1378\"><strong data-start=\"1299\" data-end=\"1319\">Accurate &amp; fast:<\/strong> Handles both positive and negative integers efficiently.<\/p>\n<\/li>\n<\/ul>\n<h2 data-start=\"1380\" data-end=\"1402\"><strong data-start=\"1385\" data-end=\"1400\">How to Use:<\/strong><\/h2>\n<ol data-start=\"1403\" data-end=\"1630\">\n<li data-start=\"1403\" data-end=\"1478\">\n<p data-start=\"1406\" data-end=\"1478\">Enter your integers separated by commas or spaces (e.g., 48, 180, 32).<\/p>\n<\/li>\n<li data-start=\"1479\" data-end=\"1508\">\n<p data-start=\"1482\" data-end=\"1508\">Click <strong data-start=\"1488\" data-end=\"1505\">Calculate GCF<\/strong>.<\/p>\n<\/li>\n<li data-start=\"1509\" data-end=\"1567\">\n<p data-start=\"1512\" data-end=\"1567\">View the <strong data-start=\"1521\" data-end=\"1531\">result<\/strong> and <strong data-start=\"1536\" data-end=\"1564\">step-by-step explanation<\/strong>.<\/p>\n<\/li>\n<li data-start=\"1568\" data-end=\"1630\">\n<p data-start=\"1571\" data-end=\"1630\">Use <strong data-start=\"1575\" data-end=\"1583\">Copy<\/strong> or <strong data-start=\"1587\" data-end=\"1599\">Download<\/strong> buttons to save the results.<\/p>\n<\/li>\n<\/ol>\n<h2 data-start=\"1632\" data-end=\"1661\"><strong data-start=\"1637\" data-end=\"1659\">Why Use This Tool:<\/strong><\/h2>\n<p data-start=\"1662\" data-end=\"1918\">Finding the Greatest Common Factor is essential in simplifying fractions, solving problems in number theory, or checking divisibility. This online calculator saves time, avoids manual errors, and gives clear, detailed steps for learning and verification.<\/p>\n<\/div><\/div><\/div><\/div><div class=\"vc_column tdi_11  wpb_column vc_column_container tdc-column td-pb-span4 td-is-sticky\">\n<style scoped>\n\n\/* custom css *\/\n.tdi_11{\r\n                    vertical-align: middle;\r\n                }.tdi_11 > .wpb_wrapper,\r\n\t\t\t\t.tdi_11 > .wpb_wrapper > .tdc-elements{\r\n\t\t\t\t    display: block;\r\n\t\t\t\t}.tdi_11 > .wpb_wrapper > .tdc-elements{\r\n\t\t\t\t    width: 100%;\r\n\t\t\t\t}.tdi_11 > .wpb_wrapper > .vc_row_inner{\r\n\t\t\t\t    width: auto;\r\n\t\t\t\t}.tdi_11 > .wpb_wrapper{\r\n\t\t\t\t    width: auto;\r\n\t\t\t\t    height: auto;\r\n\t\t\t\t}\n<\/style><div class=\"wpb_wrapper\" data-sticky-offset=\"20\"><div class=\"td_block_wrap td_block_list_menu tdi_12 td-blm-display-vertical td-pb-border-top td_block_template_1 widget\"  data-td-block-uid=\"tdi_12\" >\n<style>\n\n\/* inline tdc_css att *\/\n\n.tdi_12{\npadding-top:20px !important;\n}\n\n<\/style>\n<style>\n\/* custom css *\/\n.td_block_list_menu ul{\r\n                  flex-wrap: wrap;\r\n                  margin-left: 12px;\r\n                }.td_block_list_menu ul li{\r\n\t\t\t\t\tmargin-left: 0;\r\n\t\t\t\t}.td_block_list_menu ul li a{\r\n\t\t\t\t\tdisplay: flex;\r\n                  \tmargin-left: 0;\r\n                }.td_block_list_menu .td-blm-menu-item-txt{\r\n\t\t\t\t\tdisplay: flex;\r\n\t\t\t\t\talign-items: center;\r\n\t\t\t\t\tflex-grow: 1;\r\n\t\t\t\t}.td_block_list_menu .sub-menu{\r\n                  padding-left: 22px;\r\n                }.td_block_list_menu .sub-menu li{\r\n                  font-size: 13px;\r\n                }.td_block_list_menu li.current-menu-item > a,\r\n\t\t\t\t.td_block_list_menu li.current-menu-ancestor > a,\r\n\t\t\t\t.td_block_list_menu li.current-category-ancestor > a{\r\n\t\t\t\t    color: #4db2ec;\r\n\t\t\t\t}.td_block_list_menu .td-blm-sub-icon{\r\n\t\t\t\t\tdisplay: flex;\r\n\t\t\t\t\talign-items: center;\r\n\t\t\t\t\tjustify-content: center;\r\n\t\t\t\t\tmargin-left: .6em;\r\n\t\t\t\t\tpadding: 0 .6em;\r\n\t\t\t\t\ttransition: transform .2s ease-in-out;\r\n\t\t\t\t}.td_block_list_menu .td-blm-sub-icon svg{\r\n\t\t\t\t\tdisplay: block;\r\n\t\t\t\t\twidth: 1em;\r\n\t\t\t\t\theight: auto;\r\n\t\t\t\t}.td_block_list_menu .td-blm-sub-icon svg,\r\n\t\t\t\t.td_block_list_menu .td-blm-sub-icon svg *{\r\n\t\t\t\t\tfill: currentColor;\r\n\t\t\t\t}.td_block_list_menu.td-blm-display-accordion .menu-item-has-children ul{\r\n\t\t\t\t\tdisplay: none;\r\n\t\t\t\t}.td_block_list_menu.td-blm-display-accordion .menu-item-has-children-open > a > .td-blm-sub-icon{\r\n\t\t\t\t\ttransform: rotate(180deg);\r\n\t\t\t\t}.td_block_list_menu.td-blm-display-horizontal ul{\r\n\t\t\t\t\tdisplay: flex;\r\n\t\t\t\t}body .tdi_12 ul{\r\n\t\t\t\t\ttext-align: left;\r\n\t\t\t\t\tjustify-content: flex-start;\r\n\t\t\t\t}body .tdi_12 ul li a{\r\n\t\t\t\t\tjustify-content: 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