The Hanafis treat mouth and nose rinsing as obligatory in ghusl; al-Shafi‘i treats them as Sunnah.
The disagreement concerns whether the command to purify the body includes accessible inner surfaces or only external surfaces.
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Hanafi and Shafi‘i Views on Rinsing
Ghusl: Obligations, Sunnah Procedure and Braided Hair
The Hanafis treat mouth and nose rinsing as obligatory in ghusl; al-Shafi‘i treats them as Sunnah.
The disagreement concerns whether the command to purify the body includes accessible inner surfaces or only external surfaces.