Question

how do I find the greatest common factor when it involves a variable?

Answer 1

Given

$20b^3,16b^4$

Find

Greatest Common Factor

Explanation

Factors of

$\begin{gathered} 20b^3=2\times2\times5\times b\times b\times b \\ 16b^4=2\times2\times2\times2\times b\times b\times b\times b \end{gathered}$

common factors are

$\begin{gathered} 2\times2\times b\times b\times b \\ 4b^3 \end{gathered}$

Final Answer

Hence , the greatest common factor is

$4b^3$