Question

Select the correct answer from the drop-down menu.The greatest common factor of 150?v%, 2018°V, and 45cv is sunswing45un2012 set450451455u^2y^25u^55^5

Answer 1

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

$15u^2v^3,20u^5v^2,45u^3v^5$

Thus,

$\begin{gathered} 15u^2v^3=3,5,u,u,v,v,v \\ 20u^5v^2=2,2,5,u,u,u,u,u,v,v \\ 45u^3v^5=3,3,5,u,u,u,v,v,v,v,v \end{gathered}$

Let us now list out the common factors and multiply them together.

$5\times u\times u\times v\times v=5u^2v^2$

Hence, the answer is

$5u^2v^2$