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

3x^3

,

2x

\newline

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

\newline

______

Factorization of $3x^3$ : First, find the complete factorization of $3x^3$ . $\newline$ $3 = 3$ $\newline$ $x^3 = x \times x \times x$ $\newline$ So, $3x^3 = 3 \times x \times x \times x$
Factorization of $2x$ : Now, find the complete factorization of $2x$ . $\newline$ $2 = 2$ $\newline$ $x = x$ $\newline$ So, $2x = 2 \times x$
Find Greatest Common Factor: We have: $\newline$ $3x^3 = 3 \times x \times x \times x$ $\newline$ $2x = 2 \times x$ $\newline$ Find the greatest common factor of $3x^3$ and $2x$ . $\newline$ The common factors are $x$ . $\newline$ The greatest common factor is $x$ .

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