For this case we have that by definition, the GFC of two numbers is the largest number that is a factor of both numbers.
We have the following expression:
[tex]3*3 ^ 3 - 27x =[/tex]
This can be rewritten as:
[tex]3 * 3 * 3 * 3- (3 * 3 * 3) x =\\3 * 3 ^ 3-(3 ^ 3)x =[/tex]
It is observed that if we take common factor, the largest factor will be given by [tex]3 ^ 3 = 27[/tex]
Thus, the GFC of the given expression is 27
Answer:
27
