This scientific study is devoted to analysis of the results of grinding materials such as marble, sandstone and granite in a disintegrating module. This module combines grinding of particles in the countercurrent centrifugal mill with simultaneous vibrational screening of the finished product. The essence of the study is that two-factor experiments have been carried out according to the full factor scheme. Here, the achieved degree of crushing is used as the response function. The valuable factors have the initial size and the ultimate strength of the material. As a result of two-factor analysis of variance, it has been found that the compressive strength and the initial size of the material, regardless of the sieve vibration amplitude, have a significant and comparable scale effect on the material crushing ratio. At the same time, the interaction of factors has no statistical significance. Also, approximation of experimental data by the first- and the second-order regression equations has been performed. For simplified calculations, it is recommended to use the linear regression equation, while for more accurate ones, the second-order equation is more suitable.