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

Factorization of 10m^3: First find the complete factorization of 10m^3. 10 = 2 * 5 m^3 = m * m * m 10m^3 = 2 * 5 * m * m * mFactorization of 8m^3: Now, find the complete factorization of 8m^3. 8 = 2 * 2 * 2 m^3 = m * m * m 8m^3 = 2 * 2 * 2 * m * m * mCommon Factor Calculation: We found: 10m^3 = 2 * 5 * m * m * m 8m^3 = 2 * 2 * 2 * m * m * m Find the greatest common factor of 10m^3 and 8m^3. The common factors are 2, m, m, and m. 2 * m * m * m = 2m^3 Greatest common factor: 2m^3

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Math Problems

Algebra 1

GCF of monomials

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Q. Find the greatest common factor.

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10m^3, 8m^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 $10m^3$ : First find the complete factorization of $10m^3$ . $\newline$ $10 = 2 \times 5$ $\newline$ $m^3 = m \times m \times m$ $\newline$ $10m^3 = 2 \times 5 \times m \times m \times m$
Factorization of $8m^3$ : Now, find the complete factorization of $8m^3$ . $\newline$ $8 = 2 \times 2 \times 2$ $\newline$ $m^3 = m \times m \times m$ $\newline$ $8m^3 = 2 \times 2 \times 2 \times m \times m \times m$
Common Factor Calculation: We found: $\newline$ $10m^3 = 2 \times 5 \times m \times m \times m$ $\newline$ $8m^3 = 2 \times 2 \times 2 \times m \times m \times m$ $\newline$ Find the greatest common factor of $10m^3$ and $8m^3$ . $\newline$ The common factors are $2$ , $m$ , $m$ , and $m$ . $\newline$ $2 \times m \times m \times m = 2m^3$ $\newline$ Greatest common factor: $2m^3$