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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 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144.

The factors of 169 are 1, 13, and 169.

The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, and 196.

The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime.

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Q: What is the greatest common factor of 144 169 and 196?
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