Most sensitivity studies of the safety factor in numerical slope stability analysis have been conducted with soil data. In the case of rock, due to the need for a greater amount of data, sensitivity analysis becomes more complex. Because of this, the objective of this study is to evaluate the geotechnical properties and parameters that most influence the safety factor in rock slope stability analysis using the numerical shear strength reduction method. The methodology used involved determining the geometric data of the slope, obtained on site, and defining the properties and parameters required for the stability analysis. In addition, the ranges of values for these geotechnical data were estimated based on the literature. Subsequently, the acquired data were utilized to conduct sensitivity simulations through geotechnical software. The results of the sensitivity analysis indicate that the uniaxial compressive strength, GSI, material constant, disturbance factor, and specific weight exert some influence on the numerical safety factor. This factor is sensitive to increases in value when conditions lead to improved slope quality and decreases in value when conditions lead to worse slope quality. With regard to the modulus of elasticity and Poisson' s ratio, there was no impact on the numerical safety factor, which demonstrated a high degree of insensitivity to the variability of the intervals considered for these data. It can be reasonably concluded that the use of sensitivity analysis is of some importance as a complement to the numerical analysis of rock slope stability. This allows for a more reliable assessment of the actual state of rock slope stability.