Greatest Common Factor

For any two numbers, there is always a number
that is a factor of both. For example, the numbers
24 and 36 both have 6 as a factor. When a number
is a factor of two numbers, it is called a common
factor
or common divisor. 
 
Among the common factors of two numbers, there
will always be a largest number, which is called the
greatest common factor. The greatest common factor
of 24 and 36 is 12. This is sometimes written as GCF(24,36)=12.
               For any two nonzero whole numbers a and b the
greatest common factor, written as GCF(a,b), is the greatest
factor (divisor) of both a and b.

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