Web Reference: Aug 1, 2025 · What is the Greatest Common Factor? The greatest common factor (GCF or GCD or HCF) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder. Learn how to find the greatest common factor (GCF) of two or more numbers, and why it is useful for simplifying fractions. See examples, definitions, methods and a calculator. The greatest number among all the common factors of two or more numbers is called the greatest common factor or GCF. For any two numbers, the GCF is the largest number that divides the two given numbers.
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