Turkish and Hungarian are actually related, though modern consensus is that this is not a genetic relation - at least not one that is as close as between Hungarian and Finnish, or between the various Indoeuropean languages. However, it appears that Hungarians and Turks originate from the same plane somewhere near the Ural mountains (linguistic evidence points to a plane, but we don't know which one), and that they were essentially neighbours for a very long time in which their languages influenced each other.
That's what I was thinking. The word for "very" also reminds me of the Hungarian sok (shock), meaning many. Hungary was within the Ottoman Empire for many years, ( still an emotional topic in places), so although they are quite distantly related, there seems to be quite a bit of similar vocabulary. It's always nice to find a vaguely-familiar word!.