Find the greatest common factor of -30x^4yz^3 and 75x^4z^2

The greatest common factor (GCF) of − 30 x 4 y z 3 and 75 x 4 z 2 is 15 x 4 z 2 , which is found by factoring both the coefficients and the variable parts. The GCF of the coefficients is 15, and for the variables, the common parts are x 4 and z 2 . Combining these gives the final GCF.
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Answered by Anonymous | 2025-07-05

-30x^4yz^3 and 75x^4z^2
GCF of 30 and 75 is 15 so factor '15' out to get:
15 ( 5 x^4 z^2 - 2 x^4 z^3 ) now you can factor out x^4 to get
15 x^4 ( 5 z^2 - 2z^3) Further , you can factor out z^2 to get
15 x^4 z^2 (5 - 2z) **showing the GCF is 15 x^4z^2 ** ;

Answered by jsimpson11000 | 2025-07-05