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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 both numbers have in common.

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 125 are 1, 5, 25, and 125.

The factors of 175 are 1, 5, 7, 25, 35, and 175.

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

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Factors of 175: 1, 5, 7, 25, 35, 175

Factors of 125: 1, 5, 25, 125

GCF (175, 125) = 25

The GCF is 25.

Q: What is the greatest common factor of 125 and 175?

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