We derive analytic expressions for the on-resonant cavity scale factor enhancement dependence on temperature, S 0 (T ), for an intracavity medium with a Gaussian absorption resonance. Results are expressed as functions of the cavity parameters and the two resonance parameters: α 0 (T ), the peak absorption coefficient, and Γ R α (T ), the resonance width. A semi-empirical model is developed for the temperature-dependent absorption coefficient, α F (∆, T ), in an alkali atom vapor cell, and is used to compare the predicted behavior of α 0 (T ) and Γ R α (T ) with the measured values for the D 2 F = 2 → F ′ resonance in 87 Rb, over the temperature range 298-325 K. Measurements of S 0 (T ) in a low-finesse ring cavity, using the same vapor cell as the intracavity dispersive medium, were performed and found to be in agreement with the temperature-dependent behavior predicted by our theory, with quantitative agreement to 2 K for the critical temperature. The practical range of S 0 is found to be limited by the achievable temperature stability of the resonance parameters of the dispersive medium.