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Find the greatest common factor. $\newline$ $4h, 6h^3$ $\newline$ 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

4h, 6h^3

\newline

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

\newline

______

Factorization of $4h$ : First find the complete factorization of $4h$ . $4 = 2 \times 2$ $h = h$ $4h = 2 \times 2 \times h$
Factorization of $6h^3$ : Now, find the complete factorization of $6h^3$ . $\newline$ $6 = 2 \times 3$ $\newline$ $h^3 = h \times h \times h$ $\newline$ $6h^3 = 2 \times 3 \times h \times h \times h$
Find Greatest Common Factor: We found: $\newline$ $4h = 2 \times 2 \times h$ $\newline$ $6h^3 = 2 \times 3 \times h \times h \times h$ $\newline$ Find the greatest common factor of $4h$ and $6h^3$ . $\newline$ Common factors are $2$ and $h$ . $\newline$ $2 \times h = 2h$ $\newline$ Greatest common factor: $2h$

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