Answer with explanation:
Greatest common factor--
The gcf i.e. greatest common factor of two numbers is the product of the greatest factors which is common to both the number
a)
[tex]4p^5q^5\ and\ 8p^3q^2[/tex]
The greatest factor which is common to both the monomials is:
[tex]4p^3q^2[/tex]
b)
[tex]24pq^6\ and\ 16p^3q^5[/tex]
Now, we observe that both the monomials has greatest common factor as:
[tex]8pq^5[/tex]
c)
[tex]8p^3q^6\ and\ 4p^2q^5[/tex]
The greatest factor which is common to both the monomials is:
[tex]4p^2q^5[/tex]
d)
[tex]16p^3q^2\ and\ 24p^2q[/tex]
The greatest factor which is common to both the number is:
[tex]8p^2q[/tex]
e)
[tex]12p^3q\ and\ 4p^2q^5[/tex]
The greatest factor which is common to both the number is:
[tex]4p^2q[/tex]
