A cutting tap includes a body having an axial forward end and an axial rearward end and a central longitudinal axis. The body has a fluted section at the axial forward end. The fluted section includes a chamfered fluted section extending from the axial forward end of the body and terminating at a first full cutting thread. The chamfered fluted section includes a first cutting thread located a first distance from the axial forward end of the body, and a second cutting thread located a second distance from the axial forward end of the body. The second distance is greater than the first distance. The chamfered fluted section is shaped such that a thickness of a section of material removed by the second cutting thread is smaller than a thickness of a section of material removed by the first cutting thread. A method of making the cutting tap is also disclosed.