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To find common factors, you first need to break the numbers up into their prime factors:

9=3x3

100=2x2x5x5

The next step would be to identify the common prime factors. In this case we can see that there are none, and thus the HCF, and indeed the only number that goes into both 9 and 100, is 1.

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Q: What goes into 9 and 100?
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