Why is this loop not working

You are checking wether the current count is larger or equals to your variable countDadJokes.

while count >= self.countDadJokes

Then inside the loop you increase the count variable. In my understanding you would want to check if the count is lower than countDadJokes.

With this line:

UserDefaults.standard.setValue(self.dadJokes, forKey: "dadJoke")

you are also overwriting what you changed in the last iteration of the loop.

When you say

Why is this loop not working

please tell us what exactly isn't working.

Probably your test is in the wrong order

                        while count >= self.countDadJokes {

never occurs, as count = 1 to start

Change with

                        while count <= self.countDadJokes {

or maybe

                        while count < self.countDadJokes {