To improve adhesion of Cr(VI)-free primers and suitable topcoats on aircraft parts, a method for anodizing part surface of the aircraft part that includes aluminum or an aluminum alloy including the steps of cleaning the part and exposing the part to an anodizing electrolyte. During anodizing it is essential that the temperature of the anodizing electrolyte is maintained at a constant temperature chosen from a range from 42° C. to 60° C.