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Find the greatest common factor. $\newline$ $10m^2$ , $4m$ $\newline$ 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

10m^2

,

4m

\newline

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

\newline

______

Factorization of $10m^2$ : First find the complete factorization of $10m^2$ . $\newline$ $10 = 2 \times 5$ $\newline$ $m^2 = m \times m$ $\newline$ $10m^2 = 2 \times 5 \times m \times m$
Factorization of $4m$ : Now, find the complete factorization of $4m$ . $4 = 2 \times 2$ $m = m$ $4m = 2 \times 2 \times m$
Find Greatest Common Factor: We found: $\newline$ $10m^2 = 2 \times 5 \times m \times m$ $\newline$ $4m = 2 \times 2 \times m$ $\newline$ Find the greatest common factor of $10m^2$ and $4m$ . $\newline$ Common factors are $2$ and $m$ . $\newline$ $2 \times m = 2m$ $\newline$ Greatest common factor: $2m$

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