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The greatest common factor of 12 and 25 is 1.

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

The factors of 12 are 1, 2, 3, 4, 6, and 12.

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

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

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.

The prime factors of 12 are 2, 2, and 3.

The prime factors of 25 are 5 and 5.

There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1.

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