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Find the greatest common factor. $\newline$ $9u^2$ , $6u^3$ $\newline$ Write your answer as a constant times a product of single variables raised to exponents. $\newline$ ______

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GCF of monomials

Full solution

Q. Find the greatest common factor.

\newline

9u^2

,

6u^3

\newline

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

\newline

______

Factorization of $9u^2$ : First find the complete factorization of $9u^2$ . $\newline$ $9 = 3 \times 3$ $\newline$ $u^2 = u \times u$ $\newline$ $9u^2 = 3 \times 3 \times u \times u$
Factorization of $6u^3$ : Now, find the complete factorization of $6u^3$ . $\newline$ $6 = 2 \times 3$ $\newline$ $u^3 = u \times u \times u$ $\newline$ $6u^3 = 2 \times 3 \times u \times u \times u$
Common Factor Calculation: We found: $\newline$ $9u^2 = 3 \times 3 \times u \times u$ $\newline$ $6u^3 = 2 \times 3 \times u \times u \times u$ $\newline$ Find the greatest common factor of $9u^2$ and $6u^3$ . $\newline$ Common factors are $3$ , $u$ , and $u$ . $\newline$ $3 \times u \times u = 3u^2$ $\newline$ Greatest common factor: $3u^2$

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