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

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GCF of monomials

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Q. Find the greatest common factor.

\newline

9u^3, 6u^3

\newline

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

\newline

\_\_

Find Factorization of $9u^3$ : First, find the complete factorization of $9u^3$ . $9 = 3 \times 3$ $u^3 = u \times u \times u$ Therefore, $9u^3 = 3 \times 3 \times u \times u \times u$ .
Find Factorization of $6u^3$ : Next, find the complete factorization of $6u^3$ . $\newline$ $6 = 2 \times 3$ $\newline$ $u^3 = u \times u \times u$ $\newline$ Therefore, $6u^3 = 2 \times 3 \times u \times u \times u$ .
Identify Common Factors: Now, identify the common factors of $9u^3$ and $6u^3$ . The common factors are $3$ , $u$ , $u$ , and $u$ .
Multiply to Find GCF: Multiply the common factors to find the greatest common factor (GCF). $\newline$ GCF = $3 \times u \times u \times u = 3u^3$

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