Source : Webster's Revised Unabridged Dictionary (1913)

Prefecture \Pre"fec*ture\ (?; 277), n. [L. praefectura: cf. F.
   pr['e]fecture.]
   The office, position, or jurisdiction of a prefect; also, his
   official residence.

Source : WordNet®

prefecture
     n 1: the district administered by a prefect (as in France or
          Japan or the Roman Empire)
     2: the office of prefect