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The GCF of 56 and 64 is 8. (56= 7x8, 64= 8x8)
One way to determine the greatest common factor is to find all the factors of the numbers and compare them.
The factors of 56 are 1, 2, 4, 7, 8, 14, 28, and 56.
The factors of 64 are 1, 2, 4, 8, 16, 32, and 64.
The common factors are 1, 2, 4, and 8. Therefore, 8 is the greatest common factor.
The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.
The prime factors of 56 are 2, 2, 2, and 7.
The prime factors of 64 are 2, 2, 2, 2, 2, and 2.
The prime factors in common are 2, 2, and 2, so the greatest common factor is 2 x 2 x 2 = 8.
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The least common multiple is the product of the two numbers divided by their greatest common factor. Their greatest common factor is 8, so the least common multiple is 56 x 64 ÷ 8 = 448.
