Verified Answer :

\(42a^5b^3=7ab^3\cdot6a^4\\\\35a^3b^4=7ab^3\cdot5a^2b\\\\42ab^4=7ab^3\cdot6b\\\\\boxed{GCF(42a^5b^3,\ 35a^3b^4,\ 42ab^4)=7ab^3}\)

Answer:

\(7ab^{3}\) is the answer.

Step-by-step explanation:

The given equation is :

\(42a^{5}b^{3}\) = \(2*3*7*a*a*a*a*a*b*b*b\)

\(35a^{3}b^{4}\) = \(5*7*a*a*a*b*b*b*b\)

\(42ab^{4}\) = \(2*3*7*a*b*b*b*b\)

Hence, taking the common factors from each term and combining them to create the Greatest Common Factor. We get \(7ab^{3}\)