Question

What is the greatest common factor of 42a^5b^3, 35a^3b^4, and 42ab^4? 7ab^3 6a^4b 42a^5b^4 77a^8b^7

Answer 1

`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 2

`7ab^(3)` is the answer.

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)`