Computed properties of high-factor sapphire, YAG, SrLaAlO 4 , LaAlO 3 , rutile, and quartz dielectric resonators (DR's) operating on whispering-gallery TE 011 and TE 01 modes are presented in this paper. Resonators with a superconducting metal or partly superconducting partly metal shield are considered. For whispering-gallery-mode resonators, dielectric losses determine upper limit for their factors, while for TE 011 -mode resonators, their factors are usually limited by conductor losses. Single-crystal TE 01 -mode resonators would have factors determined by both dielectric and conductor losses, and dominant loss mechanism depends on crystal losses and shield geometry. Geometric factors that allow evaluation of conductor losses of TE 011 -and TE 01 -mode resonators are given for different DR structures.