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

3n^3, 6n

\newline

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

\newline

\_\_

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

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