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To work this out, you need to write the numbers as the product of their prime factors:
24 = 2x2x2x3
64 = 2x2x2x2x2x2
The next step is to identify any common prime factors. In this case both numbers have three 2s as prime factors. Multiply these together and you get:
2x2x2 = 8
Thus the HCF of 24 and 64 is 8.
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Continue Learning about Basic Math
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What is the HCF of 64 and 56?
The Highest Common Factor (HCF) of 64 and 56 is 8. To find the HCF, you can determine the factors of both numbers: 64 (1, 2, 4, 8, 16, 32, 64) and 56 (1, 2, 4, 7, 8, 14, 28, 56). The largest number that appears in both lists is 8, making it the HCF of 64 and 56.
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