WRONG RWY LNDG AFTER A BE40 FLC PERFORMS A VISUAL APCH AFTER AN ILS TO RWY 24 AND LANDS ON RWY 24 AT CGF; OH.

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APCH NOTIFIED THAT CGF WAS USING RWY 24. WX FAVORED RWY 6 WHICH WAS REQUESTED. APCH GAVE UPDATED WX RPT AND NOTIFIED RWY 24 WAS ACTIVE. BASED ON WX; RWY 24 WAS FAVORED AND REQUESTED. APCH VECTORED US FOR ILS RWY 24 CGF AND INTERCEPTED THE LOC. WE WERE #2 FOR THE APCH. ONCE VISUAL CONTACT WITH CGF; WE WERE CLRED FOR VISUAL. HDOF TO TWR WAS MADE; ACFT POS WAS RPTED; TWR CLRED US TO LAND. NORMAL LNDG. TWR NOTIFIED THAT RWY 6 WAS THE RWY WHICH LNDG WAS CLRED FOR. NO OTHER EVENTS OCCURRED. IN THE FUTURE TO AVOID THIS SIT; MORE CARE SHOULD BE MADE OR TAKEN TO CONFIRM POSITIVE COMS AND MINIMAL CONFUSION. SUPPLEMENTAL INFO FROM ACN 564660: CLEVELAND CAME BACK TO US AND SAID THE 'TWR SAID YOU CAN HAVE RWY 6 OR RWY 24.' WE THEN TOLD APCH WE WOULD STAY WITH RWY 24. APCH SAID 'OK; YOU ARE CLRED ILS RWY 24.' WE BROKE OUT OF LAYER AT ABOUT 1800 FT; CALLED FIELD IN SIGHT. APCH SAID 'CLRED VISUAL RWY 24; CONTACT TWR.' WE MADE CONTACT WITH TWR. TWR SAID; 'CLRED TO LAND.' WE LANDED ON RWY 24. ON ROLLOUT; TWR SAID; 'YOU WERE CLRED TO LAND ON RWY 6.' AT NO TIME DO THE CAPT OR I RECALL RWY 6 BEING MENTIONED BY THE TWR!