The invention relates to a tool main part (100) for a cutting tool (200). The tool main part (100) has a housing (1) and a damping device (2), wherein the housing (1) has a circumferential wall (3), and the damping device (2) is designed and arranged so as to damp vibrations of the housing (1). The tool main part (100) additionally has a driver element (4) for driving a cutting element support (300) in a rotational manner with respect to the rotational axis (101), wherein the driver element (4) is arranged at least partly within the circumferential wall (3) when viewed in a direction parallel to the rotational axis (101), and the driver element is connected to the circumferential wall (3) so as to transmit a torque and protrudes axially from the end face (5) of the circumferential wall (3) with respect to the rotational axis (101).