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Question

How many common factors do 9 and 36 have?


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Solution

We know,
9=3×3
9=1×9

Factors of 9 are 1,3 and 9.

Also,
36=6×6
36=4×9
36=3×12
36=2×18
36=1×36

Factors of 36 are 1,2,3,4,6,9,12,18 and 36.

Common factors are 1,3 and 9.

Hence, there are 3 common factors.

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