Find the greatest common factor. 6g^2, 10g^3 Write your answer as a constant times a product of single variables raised to exponents. ______

Factorization of 6g^2: First find the complete factorization of 6g^2. 6 = 2 * 3 g^2 = g * g 6g^2 = 2 * 3 * g * gFactorization of 10g^3: Now, find the complete factorization of 10g^3. 10 = 2 * 5 g^3 = g * g * g 10g^3 = 2 * 5 * g * g * gFind Greatest Common Factor: We found: 6g^2 = 2 * 3 * g * g 10g^3 = 2 * 5 * g * g * g Find the greatest common factor of 6g^2 and 10g^3. Common factors are 2, g, and g. 2 * g * g = 2g^2 Greatest common factor: 2g^2

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Math Problems

Algebra 1

GCF of monomials

Full solution

Q. Find the greatest common factor.

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6g^2

10g^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 $6g^2$ : First find the complete factorization of $6g^2$ . $\newline$ $6 = 2 \times 3$ $\newline$ $g^2 = g \times g$ $\newline$ $6g^2 = 2 \times 3 \times g \times g$
Factorization of $10g^3$ : Now, find the complete factorization of $10g^3$ . $\newline$ $10 = 2 \times 5$ $\newline$ $g^3 = g \times g \times g$ $\newline$ $10g^3 = 2 \times 5 \times g \times g \times g$
Find Greatest Common Factor: We found: $\newline$ $6g^2 = 2 \times 3 \times g \times g$ $\newline$ $10g^3 = 2 \times 5 \times g \times g \times g$ $\newline$ Find the greatest common factor of $6g^2$ and $10g^3$ . $\newline$ Common factors are $2$ , $g$ , and $g$ . $\newline$ $2 \times g \times g = 2g^2$ $\newline$ Greatest common factor: $2g^2$