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Find the greatest common factor. $\newline$ $6s^3, 8s^3$ $\newline$ 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

6s^3, 8s^3

\newline

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

\newline

\_\_

Factorization of $6s^3$ : First find the complete factorization of $6s^3$ . $\newline$ $6 = 2 \times 3$ $\newline$ $s^3 = s \times s \times s$ $\newline$ $6s^3 = 2 \times 3 \times s \times s \times s$
Factorization of $8s^3$ : Now, find the complete factorization of $8s^3$ . $8 = 2 \times 2 \times 2$ $s^3 = s \times s \times s$ $8s^3 = 2 \times 2 \times 2 \times s \times s \times s$
Common Factor Calculation: We found: $\newline$ $6s^3 = 2 \times 3 \times s \times s \times s$ $\newline$ $8s^3 = 2 \times 2 \times 2 \times s \times s \times s$ $\newline$ Find the greatest common factor of $6s^3$ and $8s^3$ . $\newline$ The common factors are $2$ , $s$ , $s$ , and $s$ . $\newline$ $2 \times s \times s \times s = 2s^3$ $\newline$ Greatest common factor: $2s^3$

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