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First, express each number in terms of its prime factors.

32 = 2 x 2 x 2 x 2 x 2 = 25

56 = 2 x 2 x 2 x 7 = 23 x 7

The highest factor that both numbers have in common is 23 = 8

THE HCF of 32 and 56 is 8.

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Q: What is the highest common factor for 32 and 56?
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