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Find the greatest common factor. $\newline$ $8u^2, 6u^2$ $\newline$ 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

8u^2, 6u^2

\newline

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

\newline

\_\_

Factorization of $8u^2$ : First find the complete factorization of $8u^2$ . $\newline$ $8 = 2 \times 2 \times 2$ $\newline$ $u^2 = u \times u$ $\newline$ $8u^2 = 2 \times 2 \times 2 \times u \times u$
Factorization of $6u^2$ : Now, find the complete factorization of $6u^2$ . $\newline$ $6 = 2 \times 3$ $\newline$ $u^2 = u \times u$ $\newline$ $6u^2 = 2 \times 3 \times u \times u$
Common Factor of $8u^2$ and $6u^2$ : We found: $\newline$ $8u^2 = 2 \times 2 \times 2 \times u \times u$ $\newline$ $6u^2 = 2 \times 3 \times u \times u$ $\newline$ Find the greatest common factor of $8u^2$ and $6u^2$ . $\newline$ Common factors are $2$ , $u$ , and $u$ . $\newline$ $2 \times u \times u = 2u^2$ $\newline$ Greatest common factor: $6u^2$ $0$

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