# Generators of a cyclic group; how do you calculate them

The question reads: Find the number of generators of a cyclic group having the given order.

A) 8

B) 60

This is a practice question for the quiz. The answers are 4 and 16, but I’m confused how it’s calculated. Okay, so the cyclic group has a cardinality of 8. Do I need to figure out how many generators produce Z8? Z8 isn’t mentioned, but I don’t know what else to do.

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Just a note. Z8\mathbb{Z}8 is the only cyclic group of order 8.
– baru
Oct 21 at 2:33

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