Question

Find the greatest common factor : 25p^2q^3, 15p^2q^2 and 35pq^4

Answer 1

The greatest common factor is
`5pq^2`.

Explanation:

The given expressions are
`25p^2q^3`,
`15p^2q^2` and
`35pq^4`.

Greatest common factor of two numbers is the greatest number that divides both numbers completely.

Find factors of each expression.

`25p^2q^3=5* 5* p* p* q* q* q`

`15p^2q^2=3* 5* p* p* q* q`

`35pq^4=5* 7* p* q* q* q* q`

The common factors are 5,p,q and q. So, the greatest common factor of given expressions is

`G.C.F.=5* p* q* q`

`G.C.F.=5pq^2`

Therefore the greatest common factor is
`5pq^2`.