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

6c^2

,

8c^3

\newline

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

\newline

______

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

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