Unlike the flat base foundations, the determination of the bearing resistance of the cone-shaped footing in finite element analysis (FEA) might not be carried out without considering the interface model. In addition, the simulations of the FEA is hardly achieved with a large system due to the assembly technique. So, the alternative should be considered. Therefore, this paper proposes a new method for computing the π π , π π and π πΎ factors of the bearing capacity of the rough and smooth cone-shaped foundations by combining the skew boundary condition as the interface model incorporated with the viscoplastic strain method-based meshfree obeying the yield equation of the Mohr-Coulomb (MC). Thus, the factors can be determined exclusively and reported to reach a close agreement with the published data; nevertheless, the discrepancies are also provided. The plastic flow of the soil mechanics is discussed thoroughly. In addition, the effects of soil friction angle (π) and cone-shaped angle (π½) on the factors are inspected systematically. Accordingly, the conservation of the Terzaghi's superposition assumption is confirmed, and the bearing capacity factor charts can be established for various combinations of π = 5 o -45 o and π½ = 30 o -180 o . Therefore, it may conclude that the results produced by these techniques and the techniques themselves may be applied confidently for solving geotechnical problems, especially for computing the bearing resistance of the soil.