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

2j^3, 6j^2

\newline

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

\newline

\_\_

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

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