Find the greatest common factor. 6h^3, 10h^2 Write your answer as a constant times a product of single variables raised to exponents. ______

Factorization of 6h^3: First find the complete factorization of 6h^3. 6 = 2 * 3 h^3 = h * h * h 6h^3 = 2 * 3 * h * h * hFactorization of 10h^2: Now, find the complete factorization of 10h^2. 10 = 2 * 5 h^2 = h * h 10h^2 = 2 * 5 * h * hFind Greatest Common Factor: We found: 6h^3 = 2 * 3 * h * h * h 10h^2 = 2 * 5 * h * h Find the greatest common factor of 6h^3 and 10h^2. Common factors are 2, h, and h. 2 * h * h = 2h^2 Greatest common factor: 2h^2

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Math Problems

Algebra 1

GCF of monomials

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Q. Find the greatest common factor.

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6h^3, 10h^2

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

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Factorization of $6h^3$ : First find the complete factorization of $6h^3$ . $\newline$ $6 = 2 \times 3$ $\newline$ $h^3 = h \times h \times h$ $\newline$ $6h^3 = 2 \times 3 \times h \times h \times h$
Factorization of $10h^2$ : Now, find the complete factorization of $10h^2$ . $\newline$ $10 = 2 \times 5$ $\newline$ $h^2 = h \times h$ $\newline$ $10h^2 = 2 \times 5 \times h \times h$
Find Greatest Common Factor: We found: $\newline$ $6h^3 = 2 \times 3 \times h \times h \times h$ $\newline$ $10h^2 = 2 \times 5 \times h \times h$ $\newline$ Find the greatest common factor of $6h^3$ and $10h^2$ . $\newline$ Common factors are $2$ , $h$ , and $h$ . $\newline$ $2 \times h \times h = 2h^2$ $\newline$ Greatest common factor: $2h^2$