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Find the greatest common factor. $\newline$ $10g^3, 8g^3$ $\newline$ 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

10g^3, 8g^3

\newline

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

\newline

\_\_

Factorization of $10g^3$ : First, find the complete factorization of $10g^3$ . $\newline$ $10 = 2 \times 5$ $\newline$ $g^3 = g \times g \times g$ $\newline$ Therefore, $10g^3 = 2 \times 5 \times g \times g \times g$
Factorization of $8g^3$ : Next, find the complete factorization of $8g^3$ . $\newline$ $8 = 2 \times 2 \times 2$ $\newline$ $g^3 = g \times g \times g$ $\newline$ Therefore, $8g^3 = 2 \times 2 \times 2 \times g \times g \times g$
Greatest Common Factor: Now, find the greatest common factor of $10g^3$ and $8g^3$ . The common factors are $2$ , $g$ , $g$ , and $g$ . Therefore, the greatest common factor is $2 \times g \times g \times g = 2g^3$

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