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 have to:
We look for the factors of 18 and 36:
18: 1,2,3,6,9,18
36: 1, 2,3,4, 6,9,18 ...
It is observed that the GFC of both numbers is 18.
Then, the GFC of [tex]18x ^ 2[/tex] and [tex]36x[/tex] is:
18x
Answer:
18x
