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Find the greatest common factor. $\newline$ $6y^2$ , $3y^3$ $\newline$ 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

6y^2

,

3y^3

\newline

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

\newline

______

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

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