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The first thing you need to do to find the HCF is split each number into its prime factors.
9 = 3x3
36 = 3x3x4
Then you identify any shared factors. In this case, both numbers have two 3s, so those are our shared factors. Multiply these together for our answer:
3x3=9
Thus the HCF of 36 and 9 is 9.
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