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Answer: 25

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 175 are 1, 5, 7, 25, 35, and 175.

The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, and 200.

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

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Q: What is the greatest common factor of 175 and 200?
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