Ohio State Route 310 is a north-south highway in Licking County. This is the longest county that is runs through. It starts at a junction with Ohio State Route 37, near Johnstown, and runs to the Licking/Fairfield County Line. OH St Rt 310 intersects the following highways in Licking County. Pataskala Etna OH St Rt 310 is not multi-plexed in Licking County. OH St Rt 310 intersects the following highways in Licking County. Ohio State Route 37, near Johnstown. Ohio State Route 161, near Jersey Ohio State Route 16, at Pataskala. U.S. Rt. 40, near Etna. Interstate 70, near Etna.