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The GCF of 25 and 45 is 5

Definition: A factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.

Method:

One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them.

The factors of 25 are 1, 5, and 25.

The factors of 45 are 1, 3, 5, 9, 15, and 45.

The common factors are 1 and 5. Therefore, the greatest common factor is 5. The highest common factor of 25 and 45 is 5.

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