New York State Route 13 (NY 13) is a state highway that runs mainly north–south for 152.30 miles (245.10 km) between NY 14 in Horseheads and NY 3 west of Pulaski in Central New York in the United States. In between, NY 13 intersects with Interstate 81 (I-81) in Cortland and Pulaski and meets the New York State Thruway (I-90) in Canastota. NY 13 is co-signed with several routes along its routing, most notably NY 34 and NY 96 between Newfield and Ithaca; NY 80 between DeRuyter and Cazenovia; and NY 5 between Chittenango and Canastota.

New York State Route 14 (NY 14) is a state highway located in western New York in the United States. Along with NY 19, it is one of two routes to transect the state in a north–south fashion between the Pennsylvania border and Lake Ontario. The southern terminus is at the state line in the Chemung County town of Ashland, where it continues south as Pennsylvania Route 14 (PA 14). Its northern terminus is at a cul-de-sac on Greig Street in the Wayne County village of Sodus Point. NY 14 has direct connections with every major east–west highway in western New York, including Interstate 86 (I-86) and NY 17, U.S. Route 20 (US 20) and NY 5, and the New York State Thruway (I-90). It passes through two cities—Elmira and Geneva—and serves many villages as it traverses the state.