Cross sections for the 13C(3He, α)12C reaction were measured for 12C states up to excitation energies of about 20 MeV for 3He energies of 50 and 60 MeV. An analysis of the measured angular distributions was carried out using the Coupled Channels Born Approximation method under the assumption of a direct one-step mechanism of picking up a neutron from the 13C nucleus. In these calculations, the real parts of the implemented potentials were constructed within the framework of the double folding model. This analysis made it possible to extract the values of the spectroscopic factors for the 13C g.s. → 12C g.s. (12C*) + n configurations, which were found to be in reasonable agreement with theoretical predictions.