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Since 6 = 2x3, 57 = 3x19 and 99 = 3^2 x 11, the GCF is 3.

This method used comparing the prime factors to determine the greatest common factor. The only common prime factor all three numbers have is 3, so it is the greatest common factor.

Another, less efficient, way to determine the greatest common factor is to find all the factors of the numbers and compare them.

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

The factors of 57 are 1, 3, 19, and 57.

The factors of 99 are 1, 3, 9, 11, 33, and 99.

From this you can again see that the greatest common factor is 3.

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Q: What is the greatest common factor of 6 57 and 99?
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