Using residual entropy scaling approaches, transport properties, such as viscosity and thermal conductivity, can be linked to a thermodynamic property, i.e., residual entropy. It has been demonstrated in the literature that these approaches can be successfully used to correlate transport properties in the gas phase as well as the liquid phase over large temperature and density ranges. Recently, Yang et al. [J. Chem. Eng. Data 2021, 66(3), 1385-1398] proposed a residual entropy scaling approach for the viscosity of 39 refrigerants and their mixtures, and they extended this approach in a subsequent work to 124 fluids [Int. J. Thermophys. 2022, 43(12), 183]. The method of Yang et al. requires a fluid-specific scaling factor for each fluid. Yang et al. proposed a method for estimating this parameter as being proportional to the residual entropy at the critical point. In this work, it is demonstrated that for hydrocarbons, the fluid-specific scaling factor can be better approximated as a linear function of the longest carbon chain. All linear and branched alkanes for which accurate multiparameter equations of state are available have been considered in this work. Furthermore, the performance of other predictive equations of state, i.e., the Peng-Robinson and Lee-Kesler-Plocker equations of state, is evaluated.