HOI4 will solve this problem by allowing minors to buy weapons from the majors - historically this is the only way that minors did manage to field a decent (or even half-decent) army.
Did I ever say that? You can give equipment (generally old) to minors (lend lease), you can't strictly sell it.
as for the main topic, since "IC" isnt used to produce armies, only their equipment you could basically field armies without having any factories as long as you got a shared single rifle on a division ;P of course a division like that isnt goign to do so well. although I dont think I have talked about this stuff yet, so you'll have to wait for DD for more.