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The GCF is 7.

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Q: What is the greatest common factor of 7B -7?
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What is the greatest common factor of 14b and 21ab?

The prime factors of 21 are 3 and 7.The prime factors of 14 are 2 and 7.The greatest common factor of 21 and 14 is 7.21ab and 14b also have another factor in common - b. So, the greatest common factor of 21ab and 14b would appear to be 7b . However, it is possible that a and 14 share a common factor of 2, in which case the greatest common factor of 21ab and 14b would be 14b.In summary, if a is an even number (i.e. having a factor of 2), the greatest common factor is 14b.If a is not an even number, the greatest common factor is 7b.gcf(21ab, 14b) = 7b.


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