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The GCF of 126 and 189 is 63.

The easiest way to solve this is by breaking down 126 and 189 into a series of prime numbers multiplied together. 126 = 2*(3^2)*7, and 189 = (3^3)*7

So taking the minimum powers on each side will give you the GCF.

Thus GCD(126,189) = (2^0)*(3^2)*(7^1)= 1*9*7 = 63.

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Q: What is the greatest common factor of 126 and 189?
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