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

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