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

The factors of 16X are 1, 2, 4, 8, 16, 1X, 2X, 4X, 8X, and 16X.

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

The common factors are 1, 2, 4, 1X, 2X, and 4X. Therefore, the greatest common factor is 4X (if X>1).

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. Since we do not know what X is, but it is common to both numbers, it does not matter whether or not it is actually a Prime number.

The prime factors of 16X are 2, 2, 2, 2, and X.

The prime factors of 36X are 2, 2, 3, 3, and X.

The prime factors in common are 2, 2, and "X", so the greatest common factor is 2 x 2 x "X" = 4X.

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Q: What is the greatest common factor of 16X and 36X?
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