We have the following:
[tex]9m^2,15c[/tex]In this case, we first get a common factor between the numbers 9 and 15
[tex]\begin{gathered} 9,15|3 \\ 3,5|3 \\ 1,5|5 \\ 1,1 \\ \text{gcf}=3\cdot3\cdot5=45 \end{gathered}[/tex]Therefore, the answer is:
[tex]45m^2c[/tex]