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The GCF of 120 and 210 is 30.

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

The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120.

The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, and 210.

The common factors are 1, 2, 3, 6, 10, 15, and 30. Therefore, the greatest common factor is 30.

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

The prime factors of 120 are 2, 2, 2, 3, and 5.

The prime factors of 210 are 2, 3, 5, and 7.

The prime factors in common are 2, 3, and 5, so the greatest common factor is 2 x 3 x 5 = 30.

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Q: What is the greatest common factor of 120 and 210?
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