Question

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

Answer 1

Answer:

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

Step-by-step 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.

$25p^2q^3=5\times 5\times p\times p\times q\times q\times q$

$15p^2q^2=3\times 5\times p\times p\times q\times q$

$35pq^4=5\times 7\times p\times q\times q\times q\times q$

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

$G.C.F.=5\times p\times q\times q$

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

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