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

6q^2

,

3q^3

\newline

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

\newline

______

Factorization of $6q^2$ : First, let's find the complete factorization of $6q^2$ . $\newline$ $6 = 2 \times 3$ $\newline$ $q^2 = q \times q$ $\newline$ So, $6q^2 = 2 \times 3 \times q \times q$
Factorization of $3q^3$ : Now, find the complete factorization of $3q^3$ . $\newline$ $3 = 3$ $\newline$ $q^3 = q \times q \times q$ $\newline$ So, $3q^3 = 3 \times q \times q \times q$
Find Greatest Common Factor: We have: $\newline$ $6q^2 = 2 \times 3 \times q \times q$ $\newline$ $3q^3 = 3 \times q \times q \times q$ $\newline$ Find the greatest common factor of $6q^2$ and $3q^3$ . $\newline$ The common factors are $3$ , $q$ , and $q$ . $\newline$ $3 \times q \times q = 3q^2$ $\newline$ Greatest common factor: $3q^2$

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