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Find the greatest common factor. $\newline$ $3m^3$ , $9m^2$ $\newline$ 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

3m^3

,

9m^2

\newline

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

\newline

______

Factorization of $3m^3$ : First find the complete factorization of $3m^3$ . $\newline$ $3 = 3$ $\newline$ $m^3 = m \times m \times m$ $\newline$ $3m^3 = 3 \times m \times m \times m$
Factorization of $9m^2$ : Now, find the complete factorization of $9m^2$ . $\newline$ $9 = 3 \times 3$ $\newline$ $m^2 = m \times m$ $\newline$ $9m^2 = 3 \times 3 \times m \times m$
Find Greatest Common Factor: We found: $\newline$ $3m^3 = 3 \times m \times m \times m$ $\newline$ $9m^2 = 3 \times 3 \times m \times m$ $\newline$ Find the greatest common factor of $3m^3$ and $9m^2$ . $\newline$ Common factors are $3$ , $m$ , and $m$ . $\newline$ $3 \times m \times m = 3m^2$ $\newline$ Greatest common factor: $3m^2$

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