Since \(15x^4z^2\) is common to both sides, hence 5x^4z^2 is the greatest common factor of \(-30x^4yz^3 \ and \ 75x^4 z^2.\)
Factoring of expression
Greatest common factor is the value or expression that can divide the given expression without leaving remainder>
Given the expressions
-30x^4yz^3 and 75x^4 z^2.
Find the factors
\(-30x^4yz^3 = 15 * -2 * x^4 * z^2 * z\\ 75x^4 z^2 = 15 * 5 * x^4 * z^2\)
Since 15x^4z^2 is common to both sides, hence 5x^4z^2 is the greatest common factor of \(-30x^4yz^3 \ and \ 75x^4 z^2.\)
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