The GCF is 2x.
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2x
The greatest common factor of 12xy2 + 6x is 6x. The greatest common factor of 12 and 6 is 6, and the greatest common factor of xy2 and x is x. If you took 6x out of both factors, the end result would be 2y2+1
6x
The GCF of 6x and 9x is 3x
The GCF is 3.