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To find the HCF of 36 and 66 you first need to express them as a product of their prime factors:
36 = 2x2x3x3
66 = 2x3x11
The next step is to identify any common prime factors. In this case, both numbers have a 2 and a 3 as prime factors. Multiply these together, and you get:
2x3 = 6
Thus the hcf of 36 and 66 is 6.
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