Answer: The greatest common factor of \(8a^3b^2\ and\ 12ab^4\) is \(4ab^2\).
Step-by-step explanation:
Given expressions: \(8a^3b^2\ and\ 12ab^4\)
We can write the first expression as
\(8a^3b^2=2\times2\times2\times a\times a\times a\times b\times b\\12ab^4=2\times2\times3\times a\times\ b\times b\times b\times b\)
We can see the greatest common factors in both the expressions as
GCF=\(2\times2\times a\times b\times b=4ab^2\)
Hence, the greatest common factor of \(8a^3b^2\ and\ 12ab^4\) is \(4ab^2\).
