Calculate all the generators in $\mathbb{Z}/61$ Here's the exact question I trying answer:
"Calculate all the generators in $(\mathbb{Z}/61)^\times$ . You may assume that $g = 2$  is one such generator. "
Does this question mean calculate the number of elements that are generators, or calculate each individual generator? I can't imagine that it is asking to count the number of them because that would just be $61-1$ which is $60$, and that $g=2$ was mentioned just to confuse things. But could someone please explain how I could calculate each of the generators, using the knowledge that 2 is one them. I've looked around online, but I'm stumped. I assume there's some method for doing this other than just slow going through each element one at a time?

Hint: $\text{ord}(a^k) = \dfrac{\text{ord}(a)}{\gcd(\text{ord}(a), k)}$
