Characteristic of field $ GL(n , q)$; $q$ is prime

Question

What is the characteristic of field $GL(n,q)$ where $q$ is prime?

Answer 1

Maybe you meant the finite field $GF(q^n)$ instead of the group $GL(n,q)$; for that case at least the question makes sense. Since the field $GF(q^n)$ contains $GF(q)$ as a subfield, it has the same characteristic as that subfield. Given that $q$ is prime, that characteristic is$~q$.