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The GCF of 48 and 64 is 16.

How to Calculate the GCF of 48 and 64:

One way to approach this is to look at the difference between 48 and 64, which is 16. The greatest common factor of two numbers cannot be larger than the difference between the two numbers and must be a factor of the difference. Since both 48 and 64 are divisible by 16, the greatest common factor is 16.

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

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

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 48 are 2, 2, 2, 2, and 3.

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.

Summary:

The greatest common factor of 48 and 64 is 16.

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7y ago

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More answers

The GCF is 16.

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Wiki User

13y ago
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GCF of 48 and 64 is 16.

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Wiki User

14y ago
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GCF(48, 64) = 16.

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Wiki User

10y ago
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16

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Wiki User

15y ago
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Q: What is the greatest common factor of 48 and 64?
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