Kansas State Route 4 is a north-south highway across Shawnee County. This enters from Jefferson County near Grantville and from Wabaunsee County near Dover. KS St Rt 4 passes through the following towns in Shawnee County. Topeka Dover KS St Rt 4 is multi-plexed in Shawnee County. U.S. Rt. 24, at Topeka. U.S. Rt. 40, from Topeka to near Kiro. Interstate 70, from Topeka to near Kiro. U.S. Rt. 75, at Topeka. KS St Rt 4 intersects the following highways in Shawnee County. U.S. Rt. 24, at Topeka. U.S. Rt. 24, at Topeka. U.S. Rt. 40, at Topeka. Interstate 70, at Topeka. U.S. Rt. 75, at Topeka. Interstate 470, at Topeka. U.S. Rt. 75, at Topeka. Interstate 70, near Kiro. U.S. Rt. 40, near Kiro.