We’ve written about XDA Elite Recognized Developer Chainfire‘s CF-Auto-Root for various devices in the past. For those just now hearing about CF-Auto-Root for the first time, it’s essentially the easiest and quickest way to achieve initial root for your Samsung device, while keeping your newly rooted device as close to stock as possible. And due to the ease at which this can be applied, it’s essentially “root for rooting beginners,” as Chainfire himself puts it.
Already supporting over 80 devices and configurations, a version of CF-Auto-Root has now been created for several versions of the Samsung Galaxy Note 3. This includes the SM-N900 (International Exynos), SM-N9005 (International Qualcomm), SM-N900T (T-Mobile US), and several others which are currently untested.
To get started, head over to the original thread to download the appropriate package for your specific Note 3. From there, set your phone to download mode, and flash the appropriate file with Odin. Make sure to read the instructions carefully before getting started, and be sure to flash the appropriate file for your particular device.