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Find the greatest common factor. $\newline$ $8d, 10d$ $\newline$ 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

8d, 10d

\newline

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

\newline

\_\_

Find Prime Factorization: First, find the prime factorization of the number $8$ . $\newline$ $8 = 2 \times 2 \times 2$ $\newline$ d is already a single variable raised to the power of $1$ . $\newline$ So, the complete factorization of $8d$ is $2 \times 2 \times 2 \times d$ .
Calculate Factorization of $8$ d: Now, find the prime factorization of the number $10$ . $\newline$ $10 = 2 \times 5$ $\newline$ d is already a single variable raised to the power of $1$ . $\newline$ So, the complete factorization of $10d$ is $2 \times 5 \times d$ .
Calculate Factorization of $10d$ : We have: $\newline$ $8d = 2 \times 2 \times 2 \times d$ $\newline$ $10d = 2 \times 5 \times d$ $\newline$ Find the greatest common factor of $8d$ and $10d$ . $\newline$ The common factors are $2$ and $d$ . $\newline$ $2 \times d = 2d$ $\newline$ The greatest common factor is $2d$ .

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