Head on over to XDA for the latest method to date of how to root your Verizon Galaxy S4. Last week we saw a root method and now we have another. This new method by bhp090808 just about brings us a one click root method, but is not. It is however a simple method and help eliminate any confusion in the process if there was any.
All the instructions and necessary files are over on XDA. This is a PC/ Windows method, so no Mac love yet. Be sure to thank or donate to the dev if you feel inclined to do so.
As always do everything at your own risk and no one other than yourself is responsible for your decisions. If you have questions or need help, use the forum. Bane Tech can help in some regards so feel free to ask.