The proportionality between differential cross sections at vanishing linear momentum transfer and Gamow-Teller transition strength, expressed in terms of the unit cross section (σGT ) was studied as a function of target mass number for (t, 3 He) and ( 3 He,t) reactions at 115 AMeV and 140 AMeV, respectively. Existing ( 3 He,t) and (t, 3 He) data on targets with mass number 12 ≤ A ≤ 120 were complemented with new and reevaluated (t, 3 He) data on proton, deuteron, 6 Li and 12 C targets. It was found that in spite of the small difference in beam energies between the two probes, the unit cross sections have a nearly identical and simple dependence on target mass number A, for A ≥ 12: σGT = 109/A 0.65 . The factorization of the unit cross sections in terms of a kinematical factor, a distortion factor and the strength of the effective spin-isospin transfer nucleus-nucleus interaction was investigated. Simple phenomenological functions depending on mass number A were extracted for the latter two. By comparison with plane and distorted-wave Born approximation calculations, it was found that the use of a short-range approximation for knock-on exchange contributions to the transition amplitude results in overestimated cross sections for reactions involving the composite ( 3 He,t) and (t, 3 He) probes.