Answer:
15x^4z^2
Explanation:
We need to break each term into the smallest factors
30 = 3*10 = 3*2*5
75 = 3*25 = 3*5*5
-30 x^4yz^3 = -3*2*5 * xxxxyzzz
75 x^4z^2 = 5*5*3xxxxzz
What common factors are in each term
3*5*xxxx*zz
First find the common factor of -30 and 75, which is 15.
Next find the common factors of the variables:
The factors of x$6 is x*x*x*x
Factor for y is y
Factors for Z^3 is z*z*z
Factors for Z^2 is z*z
The GCF would be x^4z^2
Final answer = 15x^4z^2
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