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

6b, 3b^2

\newline

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

\newline

\_\_

Find Prime Factorization: First, we need to find the prime factorization of each term. $\newline$ $6b = 2 \times 3 \times b$ $\newline$ $3b^2 = 3 \times b \times b$
Identify Common Factors: Next, we identify the common factors between the two expressions. The common factors are $3$ and $b$ .
Multiply Common Factors: Now, we multiply the common factors to find the greatest common factor (GCF). $\newline$ GCF $= 3 \times b = 3b$

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