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Find the greatest common factor. $\newline$ $3a^2$ , $6a$ $\newline$ 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

3a^2

,

6a

\newline

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

\newline

______

Factorization of $3a^2$ : First, find the complete factorization of $3a^2$ . $\newline$ $3 = 3$ $\newline$ $a^2 = a \times a$ $\newline$ $3a^2 = 3 \times a \times a$
Factorization of $6a$ : Now, find the complete factorization of $6a$ . $6 = 2 \times 3$ $a = a$ $6a = 2 \times 3 \times a$
Identify Common Factors and GCF: Identify the common factors of $3a^2$ and $6a$ . $\newline$ Common factors are $3$ and $a$ . $\newline$ The greatest common factor is the product of these common factors. $\newline$ Greatest common factor: $3a$

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