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Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $6w^3 - 4w^2$

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Factor out a monomial

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Q. Factor out the greatest common factor. If the greatest common factor is

1

, just retype the polynomial.

\newline

6w^3 - 4w^2

Identify GCF: Identify the greatest common factor (GCF) of the terms $6w^3$ and $4w^2$ . The factors of $6$ are $1$ , $2$ , $3$ , and $6$ . The factors of $4$ are $1$ , $2$ , and $4$ . Both terms have a $4w^2$ $1$ in common. Therefore, the GCF is $4w^2$ $2$ .
Divide by GCF: Divide each term by the GCF to find the remaining factors. $\newline$ For $6w^3$ , we divide by $2w^2$ to get $3w$ . $\newline$ For $4w^2$ , we divide by $2w^2$ to get $2$ .
Write as Product: Write the original polynomial as the product of the GCF and the remaining factors. $\newline$ $6w^3 - 4w^2 = 2w^2(3w) - 2w^2(2) = 2w^2(3w - 2)$

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