I'm pretty sure Xbox 1 controllers are propritary, or at least partially, as they are ALSO USB hubs with controllers connected. (That's how the memory cards and other accessories dock into the Xbox controller)
Xbox 360 Controllers, as I recall, have a unique driver for the usual reasons and do not work as plug and play as any common PC game pad would, like anything you get from Logitech or other companies. However I am not entirely sure, I have neither console honestly so I can't test it.
It does remind of a funny story, as I told a friend to use his wired 360 controller for PC emulation.
"It doesn't work?"
"Did you try it?"
"Yeah! The lights don't come on."
"You mean the Xbox status lights didn't come on? Maybe cause you connected it to a Dell Lattitude Laptop instead? Did you try the driver settings to see if the controller responded or if it worked in game?"
"No..."
"Try it."
"It works!"
"How did you get that job reviewing games for IGN agian?"