Free Online Calculator

Common Factor Calculator

List all the factors that several numbers share.

Last updated: Free, no sign-up Private — runs in your browser

Quick answer: common factors

Common factors are the numbers that divide every number in the list. The common factors of 24, 36 and 60 are 1, 2, 3, 4, 6, 12.

Overview of the Common Factor Calculator

Common factors are the factors that two or more numbers have in common. Enter your numbers to see every shared factor, the greatest common factor, whether the numbers are coprime and a table of all the factors of each number.

The largest common factor is the GCF, and every common factor divides it. See the GCF Calculator, Factor Calculator and LCM Calculator.

How We Calculate

The calculator applies the standard method step by step.

  1. List the factors of each number.
  2. Keep only the factors that appear in every list.
  3. The largest of them is the GCF.
  4. Equivalently, the common factors are all the factors of the GCF.
common factors = all divisors of gcd(a, b, …)
Worked example — common factor calculator
ItemValue
Common factors1, 2, 3, 4, 6, 12
Greatest common factor (GCF)12
Number of common factors6
Coprime (only common factor is 1)?No
Factors of each number
NumberAll factors
241, 2, 3, 4, 6, 8, 12, 24
361, 2, 3, 4, 6, 9, 12, 18, 36
601, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Common factors of different sets
NumbersCommon factors
12 and 181, 2, 3, 6
24, 36, 601, 2, 3, 4, 6, 12
8 and 151
30 and 451, 3, 5, 15
100 and 2501, 2, 5, 10, 25, 50

Common Factor Calculator — Frequently Asked Questions

What are common factors?

Numbers that divide two or more given numbers without a remainder.

How do I find common factors?

List the factors of each number and pick those that appear in all lists, or list the factors of the GCF.

What are the common factors of 12 and 18?

1, 2, 3 and 6.

Are common factors the same as the GCF?

The GCF is the biggest common factor. All common factors divide the GCF.

What does coprime mean?

Numbers whose only common factor is 1, such as 8 and 15.

Why are common factors useful?

They let you simplify fractions and split things into equal groups.

How is the common factor calculator calculated?

It uses the standard method: common factors = all divisors of gcd(a, b, …) The full working and a worked example are shown on this page.

How accurate is this calculator?

Decimal results use standard double-precision arithmetic (about 15–16 significant digits). Tools that work with whole numbers — big numbers, factors, bases, combinations — use exact integer arithmetic, so no digits are lost.

Can I use it for homework or exams?

Yes for checking your work and learning the method. The steps and formula are shown so you can understand the answer, but follow your teacher's rules about calculators in exams.

Is my data stored?

No. Everything is calculated in your browser and nothing you enter is uploaded or saved.

More Free Calculators You May Need

Need a custom calculator or tool on your website?

Our team designs and develops fast, SEO-ready websites and web tools. Tell us what you need.

Call Us WhatsApp

Get a Free Quote

Tell us a bit about your project — we'll get back to you shortly.

9 + 3 =
Call WhatsApp