Answer :
We have three monomials:
[tex]\begin{gathered} I)x^4y^5z^5 \\ ^{}II)y^3z^5 \\ III)xy^3z^2 \end{gathered}[/tex]The only variables common to all three monomials are y and z.
The smallest index of y is 3 and the smallest index of z is 2
Therefore, the greatest common factor is:
[tex]y^3z^2[/tex]