What is the highest common factor of 92 and 100?

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answer is C.

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Detailed Solution

Explanation:

Prime Factorization:

92 can be factored as: 92=2×2×2392 = 2 \times 2 \times 2392=2×2×23

100 can be factored as: 100=2×2×5×5100 = 2 \times 2 \times 5 \times 5100=2×2×5×5

The common prime factors are two 2's.

Multiplying these common factors gives: 2×2=42 \times 2 = 42×2=4

Therefore, the HCF is 4.

Listing Factors:

Factors of 92: 1, 2, 4, 23, 46, 92

Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

The common factors are 1, 2, and 4.

The greatest of these is 4.

Answer: The highest common factor of 92 and 100 is 4.

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