Kostas Papazoglou (born in 1937) was the elder brother of Aristides Papazoglou and also played for Olympiakos as a forward between 1957 and 1964. Unlike his brother, Kostas played on the right side.
Papazoglou was a regular only between 1960 and 1962. He never achieved the success of his brother. Later in his career he moved on to Panaigialios and Panathinaikos (1966).
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In 1962 Olympiakos had three players on their roster named Papazoglou: Kostas, Aristides and Savvas (no relation to other two).