Greensboro is a borough in Greene County, Pennsylvania, United States. The population was 266 at the 2020 census, up from 260 at the 2010 census. Greensboro is located in southeastern Greene County at 39°47′34″N 79°54′44″W / 39.79278°N 79.91222°W. It is situated on the west bank of the Monongahela River, opposite New Geneva and the …Greensboro is a borough in Greene County, Pennsylvania, United States. The population was 266 at the 2020 census, up from 260 at the 2010 census. Greensboro is located in southeastern Greene County at 39°47′34″N 79°54′44″W / 39.79278°N 79.91222°W. It is situated on the west bank of the Monongahela River, opposite New Geneva and the mouth of George's Creek. It is bordered by Monongahela Township in Greene County to the north and west, and by Nicholson Township in Fayette County to the south and east, across the Monongahela. The county and township border follows the center of the river. The closest road bridges over the river are the Masontown Bridge on Pennsylvania Route 21, 8 miles north of Greensboro by road, and the Albert Gallatin Memorial Bridge on Pennsylvania Route 88 at Point Marion, 6 miles south of Greensboro.