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Find the greatest common factor. $\newline$ $6d^2$ , $3d^3$ $\newline$ 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^2

,

3d^3

\newline

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

\newline

______

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

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