FYI...

Both the Finnish and Hungarian languages belong to the Finno-Ugric group, the main branch of the Urgic group. So they're neither Slavic, Latin, Germanic or Asian based. But that's why they are so closely related.

The people in the Finno-Urgic group started moving apart much longer ago than say the Germanic people. That's why the similarities betwen Finnish and Hungarian is less common than the similarities between Germainc languages.