A rolling bearing having a first ring and second ring capable of rotating concentrically relative to one another, at least one first wire race mounted in the first ring, at least one second wire race mounted in the second ring, and at least one row of radial rollers radially interposed between raceways provided on the first and second wire races. The second ring provides at least two guide flanges to axially retain therebetween the row of radial rollers. The axial length of the raceway of the first wire race is greater than the axial length of the raceway of the second wire race.