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What is the greatest common factor of
30b^(2),80b^(2), and
20b^(3) ?

What is the greatest common factor of $30 b^{2}, 80 b^{2}$ , and $20 b^{3}$ ? $\newline$

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Factor polynomials

Full solution

Q. What is the greatest common factor of

30 b^{2}, 80 b^{2}

, and

20 b^{3}

?

\newline

List Coefficients and Powers: Step Title: List the Coefficients and Powers of $b$ Concise Step Description: Identify the numerical coefficients and the powers of $b$ in each term. Step Calculation: Coefficients are $30$ , $80$ , and $20$ . Powers of $b$ are $b^2$ , $b^2$ , and $b^3$ .
Find GCF of Coefficients: Step Title: Find the GCF of the Coefficients $\newline$ Concise Step Description: Calculate the greatest common factor of the numerical coefficients. $\newline$ Step Calculation: GCF of $30$ , $80$ , and $20$ is $10$ .
Determine Lowest Power: Step Title: Determine the Lowest Power of $b$ Concise Step Description: Identify the lowest power of $b$ common to all terms. Step Calculation: The lowest power of $b$ common in all terms is $b^2$ .
Combine GCF and Power: Step Title: Combine the GCF of Coefficients and Lowest Power of $b$ $\newline$ Concise Step Description: Multiply the GCF of the coefficients by the lowest power of $b$ to find the overall GCF. $\newline$ Step Calculation: The greatest common factor is $10b^2$ .

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