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Find the greatest common factor. $\newline$ $8h^2$ , $4h^3$ $\newline$ 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

8h^2

,

4h^3

\newline

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

\newline

______

Factorization of $8h^2$ : First find the complete factorization of $8h^2$ . $\newline$ $8 = 2 \times 2 \times 2$ $\newline$ $h^2 = h \times h$ $\newline$ $8h^2 = 2 \times 2 \times 2 \times h \times h$
Factorization of $4h^3$ : Now, find the complete factorization of $4h^3$ . $\newline$ $4 = 2 \times 2$ $\newline$ $h^3 = h \times h \times h$ $\newline$ $4h^3 = 2 \times 2 \times h \times h \times h$
Find Greatest Common Factor: We found: $\newline$ $8h^2 = 2 \times 2 \times 2 \times h \times h$ $\newline$ $4h^3 = 2 \times 2 \times h \times h \times h$ $\newline$ Find the greatest common factor of $8h^2$ and $4h^3$ . $\newline$ Common factors are $2$ , $2$ , $h$ , and $h$ . $\newline$ $2 \times 2 \times h \times h = 4h^2$ $\newline$ Greatest common factor: $4h^2$

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