Outer and inner radius of hard-edge annular aperture as well as decay factor as main effection factors for the abruptly autofocusing property of circular Airy beam (CAB) carrying hard-edge annular aperture are all considered. Conclusion has been achieved that, putting hard-edge annular aperture on CAB will enhance its first autofocusing peak intensity and suppresses the further autofocusing peak intensity, and its first autofocusing peak intensity will also be generally increased under the condition of different decay factors. These conclusions have potential applications in particle manipulation.