Find the greatest common factor. 10g^3, 8g^3 Write your answer as a constant times a product of single variables raised to exponents. ______

Factorization of 10g^3: First, find the complete factorization of 10g^3. 10 = 2 * 5 g^3 = g * g * g Therefore, 10g^3 = 2 * 5 * g * g * gFactorization of 8g^3: Next, find the complete factorization of 8g^3. 8 = 2 * 2 * 2 g^3 = g * g * g Therefore, 8g^3 = 2 * 2 * 2 * g * g * gGreatest 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 * g * g * g = 2g^3

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Algebra 1

GCF of monomials

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Q. Find the greatest common factor.

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10g^3, 8g^3

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

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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 $2 \times g \times g \times g = 2g^3$