What is the GCF of 32 56 and 96 using prime factorizations?

Answer 1

2 x 2 x 2 x 2 x 2 = 32

2 x 2 x 2 x 7 = 56

2 x 2 x 2 x 2 x 3 = 96

2 x 2 x 2 = 8, the GCF

Answer 2

Oh honey, we're breaking out the prime factorizations, are we? Well, the GCF (Greatest Common Factor) is the product of the common prime factors with the lowest exponents. So, for 32, we have 2^5, for 56 we have 2^3 * 7, and for 96 we have 2^5 * 3. The common prime factors are 2^3, so the GCF is 2^3, which equals 8. Ta-da!

Answer 3

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Answer 4

32 = 2^556 = 2^3*7

96 = 2^5*3

Therefore, GCF = 2^3 = 8.

Answer 5

4