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Earn +20 ptsQ: What is the GCF of 180a and 210a?
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What is the greatest common factor of 180a2 and 210a?
The prime factors of 180a2 are 2, 2, 3, 3, 5, a, and a. The prime factors of 210a are 2, 3, 5, 7, and a. The prime factors in common are 2, 3, 5, and a, so the greatest common factor is 2 x 3 x 5 x a = 30a. If a is divisible by 7, there would be two factors of 7 in a2, so the extra 7 would be another factor in common with 210a, in which case the greatest common factor would be 7 x 30a = 210a
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