Verified Answer :

Answer:

GCF =   \(x^{5}\).

Step-by-step explanation:

Given : 19 \(x^{7}\) , 3\(x^{5}\) .

To find : What is the greatest common factor


Solution : We have given that 19 \(x^{7}\) , 3\(x^{5}\) .

The greatest common factor is the product of the highest common factors in each number.

We can write \(x^{7}\)  as  \(x^{5}\) * \(x^{2}\)

Factor of 19\(x^{7}\) = 1 , 19 ,  \(x^{5}\) , \(x^{2}\) .

Factor of 3\(x^{5}\) .= 1 , 3,  \(x^{5}\).

So, GCF = 1 ,  \(x^{5}\).

Therefore,  GCF =   \(x^{5}\).