Francis Kwadwo Gyefour (born 17 March 1945) is a Ghanaian politician. He served for the Krachi constituency as a member of parliament in the Volta Region of Ghana.

Politics Gyefour was first elected during the 1992 Ghanaian parliamentary election on the ticket of the National Democratic Congress as a member of the first parliament of the fourth republic. Sampson Kwadwo Apraku took the seat from him in the 1996 Ghanaian general election with 31,055 votes which represented 44.10% of the share by defeating Jilimah Patrick Charity of the Convention People's Party (CPP) who obtained 7,922 votes which represented 11.20% of the share; Francis Gyefour an Independen who obtained 7,896 votes which represented 11.20% of the share; Isaac K.Bruce-Mensah Phoyon an Independent who obtained 1,513 votes which represented 2.10% of the share and John Ajet-Nasam of the New Patriotic Party (NPP) who obtained no votes.

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