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

6h^2

,

8h^2

\newline

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

\newline

______

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

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