The Kazakhs and the Uyghurs are both Turkic peoples.
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history
Their first khaganate was founded in 552 and at its height stretched from Manchuria to the Black Sea. It soon split into eastern and western halves, both of which fell to the Tang in the 7th century, before a second khaganate rose in 682. Its 8th-century Orkhon inscriptions in Mongolia are the oldest known texts in a Turkic language.
usage
Today 突厥 appears mostly in 突厥语族 'the Turkic languages', which include Uyghur, Kazakh and Turkish. The country Turkey is 土耳其.
