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

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GCF of monomials

Full solution

Q. Find the greatest common factor.

\newline

6u, 3u^2

\newline

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

\newline

\_\_

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

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