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

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