The calculated distance (air line) between Hofheim in Unterfranken and Gelsenkirchen is approximately 177 miles respectively 285 kilometers.
By car or train, the actual journey to Gelsenkirchen is certainly longer, as only the direct route (as the crow flies) between Hofheim in Unterfranken and Gelsenkirchen has been calculated here.
Air line (approximately)
285 kilometers
154 nautical miles