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Find the greatest common factor. $\newline$ $6u^3, 4u^3$ $\newline$ 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

6u^3, 4u^3

\newline

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

\newline

\_\_

Factorization of $6u^3$ : First find the complete factorization of $6u^3$ . $6 = 2 \times 3$ $u^3 = u \times u \times u$ $6u^3 = 2 \times 3 \times u \times u \times u$
Factorization of $4u^3$ : Now, find the complete factorization of $4u^3$ . $\newline$ $4 = 2 \times 2$ $\newline$ $u^3 = u \times u \times u$ $\newline$ $4u^3 = 2 \times 2 \times u \times u \times u$
Find Greatest Common Factor: We found: $\newline$ $6u^3 = 2 \times 3 \times u \times u \times u$ $\newline$ $4u^3 = 2 \times 2 \times u \times u \times u$ $\newline$ Find the greatest common factor of $6u^3$ and $4u^3$ . $\newline$ Common factors are $2$ , $u$ , $u$ , and $u$ . $\newline$ $2 \times u \times u \times u = 2u^3$ $\newline$ Greatest common factor: $2u^3$

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