Abstract: The free factor complexes (\mathrm{AF}_n) and (\mathrm{OF}_n) are built from the nontrivial proper free factors of (F_n) and their conjugacy classes, respectively, ordered by inclusion. I will discuss their model theory, with a focus on stability. In joint work with Katrin Tent, we proved that (\mathrm{AF}_2), equipped with the complement relation, is (\omega)-stable. I will then turn to higher ranks, where (\omega)-stability fails, and discuss connections with the model theory of free groups.