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First you would need to break the numbers into their prime factors. In this case we have:
8 = 2x2x2
12 = 2x2x3
The next step is to identify any common prime factors. In this case, both numbers have two 2s as prime factors. Multiply these together and you get:
2x2=4
Thus the hcf of 8 and 12 is 4.
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