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

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

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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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6v^2, 10v^2

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