Last updated: March 2, 2026

How to Find the Greatest Common Factor

Formula

The GCF (also called GCD) is the largest integer that divides both numbers without a remainder.

The Euclidean algorithm repeatedly replaces the larger number with the remainder until zero is reached.

Common use cases:

  • Simplifying fractions to lowest terms
  • Finding common denominators
  • Solving ratio and proportion problems

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