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To do this, you first have to break 84 and 108 down into their prime factors:
84 = 2x2x3x7
108 = 2x2x3x3x3
The next step is to identify any common prime factors. In this case both numbers have two 2s and a 3 as prime factors. Multiply these together and you get 12.
Therefore the HCF of 84 and 108 is 12.
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