With both AT&T and Verizon selling Samsung devices that come with locked bootloaders out of the box it was only a matter of time until an exploit was found to get the Samsung devices rooted!
Thanks to the famous Geohot he has found a hole within the Android kernel that allows many Android devices to be rooted within only a few minutes with no computer required!
This root guide will work with:
AT&T Galaxy S5 SM-G900A
AT&T Galaxy Note 3 SM-N900A
AT&T Galaxy S4 SGH-i337
AT&T Galaxy S4 Active
Verizon Galaxy S5 SM-G900V
Verizon Galaxy Note 3 SM-N900V
Verizon Galaxy S4 SCH-I545
& many other devices! People have reported this method also works on Asus, Sony, and other Android devices as well!