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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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