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To do this you first need to split the numbers up into their prime factors:

8 = 2x2x2

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:

2x2x2 = 8

Thus the HCF of 8 and 64 is 8.

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