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

9s^2

,

3s^3

\newline

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

\newline

______

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

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