How to exit client in server-mode

The manpage of `emacsclient` tells me to exit/finish a session via `C-x #`. But why? Also `C-x C-c` also works well. I do not see that this would cause any problems. And it seams like that the server is still running.

When you're using emacsclient as your editor, things like git will open files with emacs and then wait for emacsclient to terminate to continue. Running C-x # or `server-edit` kills the buffer EC created, and terminates EC, which allows git or whatever invoked your editor to continue.

`C-x C-c` does not close `emacsclient` ? I am confused.