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Find the greatest common factor. $\newline$ $6x^2$ , $x^3$ $\newline$ $\newline$ Write your answer as a constant times a product of single variables raised to exponents. $\newline$ ______

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GCF of monomials

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Q. Find the greatest common factor.

\newline

6x^2

,

x^3

\newline

\newline

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

\newline

______

Factorization of $6x^2$ : First find the complete factorization of $6x^2$ . $\newline$ $6 = 2 \times 3$ $\newline$ $x^2 = x \times x$ $\newline$ $6x^2 = 2 \times 3 \times x \times x$
Factorization of $x^3$ : Now, find the complete factorization of $x^3$ . $x^3 = x \times x \times x$
Find Greatest Common Factor: We found: $\newline$ $6x^2 = 2 \times 3 \times x \times x$ $\newline$ $x^3 = x \times x \times x$ $\newline$ Find the greatest common factor of $6x^2$ and $x^3$ . $\newline$ Common factors are $x$ and $x$ . $\newline$ $x \times x = x^2$ $\newline$ Greatest common factor: $x^2$

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