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The GCF of 72 and 84 is 12.

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

The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.

The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.

The common factors are 1, 2, 3, 4, 6, and 12. Therefore, the greatest common factor is 12.

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

The prime factors of 72 are 2, 2, 2, 3, and 3.

The prime factors of 84 are 2, 2, 3, and 7.

The prime factors in common are 2, 2, and 3, so the greatest common factor is 2 x 2 x 3 = 12.

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Q: What is the greatest common factor of 72 and 84?
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