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Find the greatest common factor. $\newline$ $6d^3, 4d^3$ $\newline$ 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

6d^3, 4d^3

\newline

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

\newline

\_\_

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

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