Find the greatest common factor. 8b^3, 10b^3 Write your answer as a constant times a product of single variables raised to exponents. ______

Factorization of 8b^3: First find the complete factorization of 8b^3. 8 = 2 * 2 * 2 b^3 = b * b * b 8b^3 = 2 * 2 * 2 * b * b * bFactorization of 10b^3: Now, find the complete factorization of 10b^3. 10 = 2 * 5 b^3 = b * b * b 10b^3 = 2 * 5 * b * b * bFind Greatest Common Factor: We found: 8b^3 = 2 * 2 * 2 * b * b * b 10b^3 = 2 * 5 * b * b * b Find the greatest common factor of 8b^3 and 10b^3. Common factors are 2, b, b, and b. 2 * b * b * b = 2b^3 Greatest common factor: 2b^3

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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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8b^3, 10b^3

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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 $8b^3$ : First find the complete factorization of $8b^3$ . $\newline$ $8 = 2 \times 2 \times 2$ $\newline$ $b^3 = b \times b \times b$ $\newline$ $8b^3 = 2 \times 2 \times 2 \times b \times b \times b$
Factorization of $10b^3$ : Now, find the complete factorization of $10b^3$ . $\newline$ $10 = 2 \times 5$ $\newline$ $b^3 = b \times b \times b$ $\newline$ $10b^3 = 2 \times 5 \times b \times b \times b$
Find Greatest Common Factor: We found: $\newline$ $8b^3 = 2 \times 2 \times 2 \times b \times b \times b$ $\newline$ $10b^3 = 2 \times 5 \times b \times b \times b$ $\newline$ Find the greatest common factor of $8b^3$ and $10b^3$ . $\newline$ Common factors are $2$ , $b$ , $b$ , and $b$ . $\newline$ $2 \times b \times b \times b = 2b^3$ $\newline$ Greatest common factor: $2b^3$