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

Factorization of 10k^3: First, find the complete factorization of 10k^3. 10 = 2 * 5 k^3 = k * k * k Therefore, 10k^3 = 2 * 5 * k * k * kFactorization of 6k^3: Now, find the complete factorization of 6k^3. 6 = 2 * 3 k^3 = k * k * k Therefore, 6k^3 = 2 * 3 * k * k * kIdentify Common Factors: Identify the common factors of 10k^3 and 6k^3. The common factors are 2, k, k, and k. Therefore, the greatest common factor is 2 * k * k * k = 2k^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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10k^3, 6k^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 $10k^3$ : First, find the complete factorization of $10k^3$ . $\newline$ $10 = 2 \times 5$ $\newline$ $k^3 = k \times k \times k$ $\newline$ Therefore, $10k^3 = 2 \times 5 \times k \times k \times k$
Factorization of $6k^3$ : Now, find the complete factorization of $6k^3$ . $\newline$ $6 = 2 \times 3$ $\newline$ $k^3 = k \times k \times k$ $\newline$ Therefore, $6k^3 = 2 \times 3 \times k \times k \times k$
Identify Common Factors: Identify the common factors of $10k^3$ and $6k^3$ . The common factors are $2$ , $k$ , $k$ , and $k$ . Therefore, the greatest common factor is $2 \times k \times k \times k = 2k^3$