The calculated distance (air line) between Abū Ghurayb and As Sulaymānīyah is approximately 172 miles respectively 276 kilometers.
By car or train, the actual journey to As Sulaymānīyah is certainly longer, as only the direct route (as the crow flies) between Abū Ghurayb and As Sulaymānīyah has been calculated here.
Air line (approximately)
276 kilometers
149 nautical miles