Greatest Common Factor Calculator

Find the GCF/GCD of two or more numbers using Euclidean algorithm.

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About the Greatest Common Factor Calculator

This calculator finds the greatest common factor (GCF), also called the greatest common divisor (GCD), of two or more numbers. It returns the largest positive integer that divides every number you enter without a remainder. Each calculation gives you that single GCF value as output.

The tool uses the Euclidean algorithm, which replaces the pair (a, b) with (b, a mod b) until the remainder reaches zero. The last nonzero value is the GCF. You can enter two numbers or more, separated by commas or spaces. A practical tip: reduce a fraction to lowest terms by dividing its numerator and denominator by the GCF shown here.

  • Enter your numbers, separated by commas, in the input field.
  • Press the calculate button.
  • Read the GCF shown in the results area.