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Find the greatest common factor. $\newline$ $6p^2$ , $8p^3$ $\newline$ 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

6p^2

,

8p^3

\newline

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

\newline

______

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

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