The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.
Therefore,
Let us list all the prime factors of
[tex]15u^2v^3,20u^5v^2,45u^3v^5[/tex]
Thus,
[tex]\begin{gathered} 15u^2v^3=3,5,u,u,v,v,v \\ 20u^5v^2=2,2,5,u,u,u,u,u,v,v \\ 45u^3v^5=3,3,5,u,u,u,v,v,v,v,v \end{gathered}[/tex]
Let us now list out the common factors and multiply them together.
[tex]5\times u\times u\times v\times v=5u^2v^2[/tex]
Hence, the answer is
[tex]5u^2v^2[/tex]
