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Find the greatest common factor. $\newline$ $3s^3, 6s^2$ $\newline$ 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

3s^3, 6s^2

\newline

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

\newline

______

Find Factorization of $3s^3$ : First, find the complete factorization of $3s^3$ . $\newline$ $3 = 3$ $\newline$ $s^3 = s \times s \times s$ $\newline$ So, $3s^3$ can be written as $3 \times s \times s \times s$ .
Find Factorization of $6s^2$ : Now, find the complete factorization of $6s^2$ . $\newline$ $6 = 2 \times 3$ $\newline$ $s^2 = s \times s$ $\newline$ So, $6s^2$ can be written as $2 \times 3 \times s \times s$ .
Identify Common Factors: Identify the common factors between $3s^3$ and $6s^2$ . Both expressions have the common factors $3$ , $s$ , and $s$ . The greatest common factor will be the product of these common factors. Therefore, the greatest common factor is $3 \times s \times s = 3s^2$ .

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