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. For example, for the set of numbers 18, 30 and 42 the GCF = 6. 1 is a common factor of any set of whole numbers! If 1 is the only common factor, then the GCF is 1 and the fraction is already as simple as it can be. 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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