The GCF is x2y2.
Look for the same variable(s) which have exactly the same exponent(s), group them together, factor out their common variable, then add their coefficients.For example,5x2y3 - 1 - 3x2 + 7y - 10x2y3 - 12xy + 9x2 + 4y + 2= 5x2y3 - 10x2y3 - 3x2 + 9x2 + 7y + 4y - 12xy - 1 + 2= (5 - 10)x2y3 + (-10 - 3)x2 + (7 + 4)y - 12xy + 1= -5x2y3 - 13x2 + 11y - 12xy + 1
This is clearer if you use fractional powers, at least for the intermediate steps. The fourth root of 32x2y2 is (32x2y2)1/4, or 31/2x1/2y1/2. In other words, the square root of 3xy.
The GCF is 6.
The GCF is 9.
The GCF is 4.
The GCF is 30.
50
The GCF is: 1
The GCF is 27.
The GCF is 1.
The GCF is 2.