Answer:
GCF = [tex]x^{5}[/tex].
Step-by-step explanation:
Given : 19 [tex]x^{7}[/tex] , 3[tex]x^{5}[/tex] .
To find : What is the greatest common factor
Solution : We have given that 19 [tex]x^{7}[/tex] , 3[tex]x^{5}[/tex] .
The greatest common factor is the product of the highest common factors in each number.
We can write [tex]x^{7}[/tex] as [tex]x^{5}[/tex] * [tex]x^{2}[/tex]
Factor of 19[tex]x^{7}[/tex] = 1 , 19 , [tex]x^{5}[/tex] , [tex]x^{2}[/tex] .
Factor of 3[tex]x^{5}[/tex] .= 1 , 3, [tex]x^{5}[/tex].
So, GCF = 1 , [tex]x^{5}[/tex].
Therefore, GCF = [tex]x^{5}[/tex].