Among living languages, Azerbaijani (Azeri) is the closest to Turkish. Both belong to the Oghuz branch of the Turkic family.
They share high mutual intelligibility (estimated 80–90% in basic conversation), similar grammar, and core vocabulary. Differences lie in loanwords (Azeri has more Persian/Arabic/Russian influence), some phonological shifts, and the script (Turkey uses Latin; Azerbaijan officially uses Latin but Cyrillic persists).
Other Oghuz languages: Turkmen, Qashqai, Gagauz. More distant Turkic relatives: Uzbek, Kazakh, Kyrgyz, Uyghur.