Answer:
[tex]2x^6[/tex]
Step-by-step explanation:
First, we find the greatest common factor 50, 10 and 2.
It is 2.
Then, we find the greatest common factor of [tex]x^{6},x^{7}[/tex] and [tex]x^{8}[/tex] which is [tex]x^{6}[/tex].
Thus, the greatest common factor is [tex]2x^6[/tex]