The calculated distance (air line) between Al Maḩmūdīyah and Al Fayyum is approximately 131 miles respectively 211 kilometers.
By car or train, the actual journey to Al Fayyum is certainly longer, as only the direct route (as the crow flies) between Al Maḩmūdīyah and Al Fayyum has been calculated here.
Air line (approximately)
211 kilometers
114 nautical miles