For this case we have that by definition, the Greatest Common Factor or GFC of two or more numbers, is the largest number that divides them without leaving residue.
So:
We look for the factors of 18 and 36:
18: 1,2,3,6,9,18
36: 1, 2,3,4, 6,9,18 ...
Thus, the GFC of both numbers is 18.
Then, the GFC of[tex]18x ^ 2[/tex] and [tex]36x[/tex] is:
[tex]18x[/tex]
Answer:
[tex]18x[/tex]