Question

Find the greatest common factor of 8a 3 b 2 and 12ab 4.The greatest common factor of 8a^3b^2 and 12ab^4 is 4ab^2.

Answer 1

The greatest common factor of sets of mathematical expression is that which can divide both and give the least answer.
For the first set, the GCF is equal to 4ab^2.
For the second set of mathematical expressions, the GCF is 4ab^2.

Answer 2

Answer: The greatest common factor of
`8a^3b^2\ and\ 12ab^4` is
`4ab^2`.

Explanation:

Given expressions:
`8a^3b^2\ and\ 12ab^4`

We can write the first expression as

`8a^3b^2=2*2*2* a* a* a* b* b\\12ab^4=2*2*3* a*\ b* b* b* b`

We can see the greatest common factors in both the expressions as

GCF=
`2*2* a* b* b=4ab^2`

Hence, the greatest common factor of
`8a^3b^2\ and\ 12ab^4` is
`4ab^2`.