Write all the factors of 45 and 70
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The gcf of 45 and 70 can be obtained like this:
The factors of 45 are 45, 15, 9, 5, 3, 1.
The factors of 70 are 70, 35, 14, 10, 7, 5, 2, 1.
The common factors of 45 and 70 are 5, 1, intersecting the two sets above.
In the intersection factors of 45 ∩ factors of 70 the greatest element is 5.
Therefore, the greatest common factor of 45 and 70 is 5.
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