Question: What direction does U.S. Route 123 and U.S. Route 23 have in common?

Context articles: New Hampshire Route 123
U.S. Route 123
West Virginia Route 123
Washington State Route 123
Ohio State Route 104
California State Route 123
New Jersey Route 23
Virginia State Route 123
U.S. Route 23
Ohio State Route 568

New Hampshire Route 123 (abbreviated NH 123) is a 63.055 mi secondary north–south state highway in southwestern New Hampshire.
 The southern terminus of the route is at the Massachusetts state line in Mason where, as Mason Road, the road continues as an unnumbered local road in the town of Townsend.
 The northern terminus, as signed, is at the Connecticut River, where the highway continues west for 0.313 mi to U.S. Route 5 in Westminster, Vermont, as Vermont Route 123 (VT 123).
 Route logs, however, place the terminus at New Hampshire Route 12 in Walpole.
U.S. Route 123 (US 123) is a spur of US 23 in the U.S. states of Georgia and South Carolina.
 The U.S. Highway runs 75.12 mi from US 23, US 441, and SR 365 near Clarkesville, Georgia, north and east to Interstate 385 Business (I-385 Business) in Greenville, South Carolina.
 US 123 parallels I-85 to the north as it connects the Northeast Georgia cities of Clarkesville and Toccoa with the western Upstate South Carolina communities of Westminster, Seneca, Clemson, Easley, and Greenville.
West Virginia Route 123 is an east–west state highway located in the Bluefield, West Virginia area.
 The western terminus of the route is at the Virginia state line northwest of Bluefield, where WV 123 continues west as secondary State Route 643.
 The eastern terminus is at U.S. Route 19 and U.S. Route 460 northeast of Bluefield.
State Route 123 (SR 123) is a state highway in the Gifford Pinchot National Forest and Mount Rainier National Park east of Mount Rainier in the U.S. state of Washington.
 Located in the counties of Lewis and Pierce, the 16.34 mi long roadway extends through a heavily forested canyon from U.S. Route 12 (US 12) to SR 410 .
 First established as a branch of State Road 5 in 1923, the designation of SR 123 has changed from a branch of Primary State Highway 5 (PSH 5) in 1937 to SR 143 during the 1964 highway renumbering and SR 123 in 1967.
 The northern terminus of the highway, Cayuse Pass, is closed annually and in late 2006, the Hanukkah Eve windstorm of 2006 washed out a 10.90 mi long segment of the roadway.
State Route 104 (SR 104) is a north–south highway in Southern Ohio.
 Its southern terminus is at U.S. Route 23 in Portsmouth, Ohio and its northern terminus is at U.S. Route 33 in Columbus.
 The route passes through or close to the towns of Portsmouth, Waverly, Chillicothe, Grove City, and Columbus.
 From Waverly to Chillicothe, it overlaps U.S. Route 23.
State Route 123 (SR 123) is a state highway in the U.S. state of California in the San Francisco Bay Area.
 Named San Pablo Avenue for virtually its entire length, SR 123 is a major north–south state highway along the flats of the urban East Bay in the U.S. state of California.
 Route 123 runs a relatively short 7.39 miles (11.9 km) between Interstate 580 in the south and Interstate 80 in the north.
 San Pablo Avenue itself, a portion of Historic US 40, continues well past these termini but without the Route 123 designation.
Route 23 is a state highway in the northern part of New Jersey in the United States.
 The route runs 52.63 mi from County Route 506 (Bloomfield Avenue) and County Route 577 (Prospect Avenue) in Verona, Essex County northwest to the border with New York at Montague Township in Sussex County, where the road continues to Port Jervis, New York as Orange County Route 15.
 Route 23 heads through Essex and Passaic Counties as a suburban arterial varying from two to four lanes and becomes a six-lane freeway north of a complex interchange with U.S. Route 46 and Interstate 80 in Wayne.
 The freeway carries Route 23 north to a concurrency with U.S. Route 202.
 Past the freeway portion, the route heads northwest along the border of Morris and Passaic Counties as a four- to six-lane divided highway with a wide median at places, winding through mountainous areas and crossing Interstate 287 in Riverdale.
 The route continues northwest through Sussex County as a mostly two-lane, undivided road that passes through farmland and woodland as well as the communities of Franklin, Hamburg, and Sussex before reaching the New York border just south of an interchange with Interstate 84 near High Point State Park.
State Route 123 (SR 123) is a primary state highway in the U.S. state of Virginia.
 The state highway runs 29.27 mi from U.S. Route 1 (US 1) in Woodbridge north to the Chain Bridge across the Potomac River into Washington from Arlington.
 It goes by three local names.
 From its southern terminus to the Occoquan River Bridge, it is known as Gordon Boulevard.
 From the Occoquan River Bridge to the city of Fairfax it is known as Ox Road.
 North from Fairfax, it is known as Chain Bridge Road.
 SR 123 is a partial circumferential highway in Northern Virginia that connects Woodbridge in eastern Prince William County with the independent city of Fairfax and the Fairfax County communities of Vienna, Tysons Corner, and McLean, the last the home of the National Counterterrorism Center and the Central Intelligence Agency.
 The state highway also connects all of the major highways that radiate from Washington, including Interstate 95, I-66, US 29, US 50, SR 267, and the George Washington Memorial Parkway.
 Furthermore, SR 123 crosses another pair of circumferential highways, I-495 and the Fairfax County Parkway, and SR 7, a major northwest–southeast highway through Northern Virginia.
 The state highway is a part of the National Highway System for its entire length.
U.S. Route 23 (US 23) is a long north–south U.S. Highway between Jacksonville, Florida, and Mackinaw City, Michigan.
 It is an original 1926 route which originally reached only as far south as Portsmouth, Ohio, and has since been extended.
State Route 568 (SR 568) is an east–west state highway in the northwestern portion of the U.S. state of Ohio.
 The western terminus of this highway is at a signalized intersection in downtown Findlay where it meets State Route 12 and State Route 37.
 The eastern terminus of State Route 568 is in downtown Carey at a signalized intersection that serves as all of the northern split of the U.S. Route 23/State Route 103 concurrency, the western split of the State Route 103/State Route 199 concurrency and the southern split of the U.S. Route 23/State Route 199 concurrency.