GCF
(Greatest Common Factor)
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The greatest common factor is the largest of the common factors.
All integers have factors. Some integers have some of the same factors as other integers. These are known as common factors. The largest of these is known as the greatest common factor, or GCF.
The greatest of common factors of two or more numbers is called the greatest common factor, or GCF.
There is no common factors or GCF for a single number. The Greatest Common Factor (GCF) is the largest factor common to two or more numbers. For example, 17 is the GCF of 34, 51, and 102 because it is the largest number that is a factor common to all three numbers.
There cannot be a common factor of just one number. To be common there need to be at least two numbers. If you find all the factors of two or more numbers, and you find some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.