A bevel gear set and a method of manufacturing the same are provided. The bevel gear set may include a first bevel gear and a second bevel gear. The first and second bevel gears may be spiral bevel gears or hypoid spiral bevel gears. The first and second bevel gears may each have a gear tooth surface having a plurality of teeth formed thereon, such that the teeth of the first bevel gear and the teeth of the second bevel gear are configured to engage in a meshing engagement. The teeth are machined onto the respective gear tooth surface via a face milling process. Each tooth includes a tooth top, a plurality of meshing surfaces, and at least one chamfer. The chamfer may be formed at an abutment edge disposed between the tooth top and a respective meshing surface via a brushing process directly following the machining of the teeth.