In our Air National Guard wing, it depends on the mission in theater or what current expectations might be for the MAJCOM (major command) for career specialties needed for certain contingencies. Sometimes it might only be Operations personnel deploying or sometimes it is Services or it could be the Medical squadron going somewhere in the world.
My particular career field is Security Forces (Air Force version of Military Police) and we usually send out (2) different types of teams which are 13 man teams or an entire ABGD (Air Base Ground Defense) team which is made up of about 44 unit members. The latter one is what we have deployed to Kyrgyzstan right now for 6 months.
I’m not sure exactly how the Army is conducting their deployments these days. I was in the Army for 8 years before coming over to the Air Force side but I’m reasonably certain that many Army deployments are now (1) year tours and the unit size that goes is probably at least as big as a Platoon or even as many as an entire Company.