A aspect is a divisor - a number that will evenly division into an additional number. The greatest usual factor of two or more numbers is the largest element that both numbers have in common.

You are watching: What is the greatest common factor of 64 and 72

One method to recognize the greatest usual factor is to find all the factors of the numbers and also compare them.

The components of 64 space 1, 2, 4, 8, 16, 32, and also 64.

The components of 72 room 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and also 72.

The common factors space 1, 2, 4, and 8. Therefore, the greatest usual factor is 8.

The greatest common factor can additionally be calculation by identifying the usual prime factors and also multiplying castle together.

The prime components of 64 room 2, 2, 2, 2, 2, and 2.

The prime components of 72 room 2, 2, 2, 3, and also 3.

The prime determinants in typical are 2, 2, and also 2, for this reason the greatest usual factor is 2 x 2 x 2 = 8.

Summary:

The usual factors that 64 and also 72 are 1, 2, 4, and also 8.

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The greatest common factor of 64 and 72 is 8.

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