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Find the greatest common factor. $\newline$ $4m^2$ , $6m^3$ $\newline$ Write your answer as a constant times a product of single variables raised to exponents. $\newline$ ______

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GCF of monomials

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Q. Find the greatest common factor.

\newline

4m^2

,

6m^3

\newline

Write your answer as a constant times a product of single variables raised to exponents.

\newline

______

Factorization of $4m^2$ : First find the complete factorization of $4m^2$ . $\newline$ $4 = 2 \times 2$ $\newline$ $m^2 = m \times m$ $\newline$ $4m^2 = 2 \times 2 \times m \times m$
Factorization of $6m^3$ : Now, find the complete factorization of $6m^3$ . $\newline$ $6 = 2 \times 3$ $\newline$ $m^3 = m \times m \times m$ $\newline$ $6m^3 = 2 \times 3 \times m \times m \times m$
Find Common Factor: We found: $\newline$ $4m^2 = 2 \times 2 \times m \times m$ $\newline$ $6m^3 = 2 \times 3 \times m \times m \times m$ $\newline$ Find the greatest common factor of $4m^2$ and $6m^3$ . $\newline$ Common factors are $2$ , $m$ , and $m$ . $\newline$ $2 \times m \times m = 2m^2$ $\newline$ Greatest common factor: $2m^2$

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