There are
713 mi
from Gainesville, FL to Paducah, KY
That's the driving distance. It would take 13 hours 14 mins to go from Gainesville, Florida to Paducah, Kentucky.
The flight distance (direct flight from Gainesville, FL to Paducah, KY) is 627.95 mi.
713 mi = 1,147.72 kms