According to the invention a tool system for machining a workpiece is recommended, having a cylinder-shaped retaining shank (12) that has a cutting head holder (16) on an end surface (14) facing the workpiece, a drive mount (20) on an end surface facing the drive (18), a cutting head (22) having at least one cutting edge (24), a cutting head hub (26) corresponding to the cutting head holder (16) on the retaining shank (12), a tool coupling (28) with a tool interface (30), and a coupling hub corresponding to the drive mount (20), wherein the coupling hub (32) and/or the cutting head hub (26) have elevated areas (34, 50) with contact surfaces (36, 52), wherein the elevated areas (34, 50) are distributed in an arrangement in both the circumferential (38) and longitudinal directions of the coupling hub (32) and/or the cutting head hub (26), wherein the contact surfaces (36, 52) make contact on support surfaces (42, 56) on the drive mount (20) and/or on the cutting head holder (16) on the retaining shank (12), and wherein the drive mount (20) and/or the cutting head holder (16) is permanently connected to the coupling hub (32) and/or the cutting head hub (26) by means of a joining material (46) in intermediate spaces (44, 58) between the elevations (34, 50).