Recall that the greatest common factor between two polynomial expressions is the largest positive factor that divides each of the polynomial expressions.
Notice that:
[tex]\begin{gathered} 50n^2=10\times5n^2, \\ 45n^3=9n\times5n^2. \end{gathered}[/tex]Therefore the greatest common factor of the given monomials is:
[tex]5n^2.[/tex]Answer:
[tex]5n^2.[/tex]