Or in fact, German kennen/wissen - it's not Germanic languages per se, but English, which developed from a simplified creole spoken by the Saxon conquerors of the Angles (they never bothered with all that conjugation stuff, and it stuck).
Just checked whether Dutch distinguishes between kennen and wissen. It doesn't, exactly like English, same for Norwegian and Swedish. That suggests it's a West Germanic thing.
While English can fairly be described as a creole it's the influence of Norman French on Old English that makes that a fair description. Old English was IIRC on a dialect continuum between Frisian and Norse.