When you need to reduce fractions.
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The greatest common factor is used to reduce fractions.
It is not possible to give a sensible answer to this question. The greatest common factor (GCF) refers to a factor that is COMMON to two or more numbers. You have only one number in the question!
divisor
To reduce fractions
Get the greatest common factor first. For example, you might use Euclid's Algorithm - the first step is that the greatest common factor of 5030 and 100 is the same as the greatest common factor of 100 and 30 (where 30 is the remainder of the division of 5030 / 100). Once you get the greatest common factor, the common factors of the two numbers are simply all the factors of this greatest common factor.