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Find the greatest common factor. $\newline$ $2w, w^3$ $\newline$ 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

2w, w^3

\newline

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

\newline

______

Find Factorization of $2$ w: First, let's find the complete factorization of $2w$ .
$2 = 2$
$w = w$
So, the factorization of $2w$ is simply $2 \times w$ .
Find Factorization of $w^3$ : Now, let's find the complete factorization of $w^3$ . $w^3 = w \times w \times w$ So, the factorization of $w^3$ is $w \times w \times w$ .
Find Common Factors: Next, we need to find the common factors between $2w$ and $w^3$ . The only common factor between $2w$ and $w^3$ is $w$ , since $2w$ does not have any higher powers of $w$ or any other factors that are in common with $w^3$ .
Calculate Greatest Common Factor: Therefore, the greatest common factor (GCF) of $2w$ and $w^3$ is $w$ .

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