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# What is the greatest common factor of 16 and 64?

Wiki User

2017-05-08 04:10:46

The GCF of 16 and 64 is 16.

The easiest way to determine the greatest common factor is if you notice that 16 is a factor of 64, which means that 16 is the greatest common factor.

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

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

The factors of 64 are 1, 2, 4, 8, 16, 32, and 64.

The common factors are 1, 2, 4, 8, and 16. Therefore, the greatest common factor is 16.

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

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

The prime factors of 64 are 2, 2, 2, 2, 2, and 2.

The prime factors in common are 2, 2, 2, and 2, so the greatest common factor is 2 x 2 x 2 x 2 = 16.
The GCF is 16.
The GCF of 64 and 16 is 16.

Wiki User

2017-05-08 04:10:46
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