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MATH CALCULATORS

Greatest Common Factor Calculator

Find the greatest common factor (GCF) of two or more positive whole numbers in seconds.

Try the tool

Runs in your browser

Formula or method

GCF(a, b) = the largest positive integer that divides both a and b.

Use the method above to understand how the result is produced. Some tools use text-processing rules rather than mathematical equations.

How to use the Greatest Common Factor Calculator

Enter whole numbers separated by commas, then select Calculate. The tool uses the Euclidean algorithm to compute their shared factor.

  1. Enter the requested values or paste your content into the fields above.
  2. Choose the appropriate action to calculate, format or preview.
  3. Review the result and copy or save it when needed.

Worked example

The GCF of 24 and 36 is 12.

Use the example as a reference, and replace the sample inputs with your own values.

Frequently asked questions

Can I enter more than two numbers?

Yes. Enter a comma-separated list of positive integers.

Is GCF the same as GCD?

Yes. Greatest common factor and greatest common divisor refer to the same value.

Can the GCF be larger than either number?

No. For positive whole numbers, the GCF cannot exceed the smallest input.

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