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Find the greatest common factor. $\newline$ $4k^3, 6k^3$ $\newline$ Write your answer as a constant times a product of single variables raised to exponents. $\newline$ $\_\_$

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GCF of monomials

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Q. Find the greatest common factor.

\newline

4k^3, 6k^3

\newline

Write your answer as a constant times a product of single variables raised to exponents.

\newline

\_\_

Factorization of $4k^3$ : First, find the complete factorization of $4k^3$ . $\newline$ $4 = 2 \times 2$ $\newline$ $k^3 = k \times k \times k$ $\newline$ Therefore, $4k^3 = 2 \times 2 \times k \times k \times k$
Factorization of $6k^3$ : Next, find the complete factorization of $6k^3$ . $\newline$ $6 = 2 \times 3$ $\newline$ $k^3 = k \times k \times k$ $\newline$ Therefore, $6k^3 = 2 \times 3 \times k \times k \times k$
Greatest Common Factor: Now, find the greatest common factor of $4k^3$ and $6k^3$ . The common factors are $2$ , $k$ , $k$ , and $k$ . Therefore, the greatest common factor is $2 \times k \times k \times k = 2k^3$

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