IMO Gemütlich is more closer to "cozy" rather than "Convival" which Gezellig is being used for in Dutch.
Thanks for the clarification.
You mean convivial (the same word in French, slightly different meaning)
Yes convivial is the perfect translation for gezellig. I don't understand why articles about gezelligheid always claim that it is somehow untranslateable!
Gemoedelijk is probably the Dutch word which is linguistically related to the one you mention. Interestingly, it has no megative connotation, but it won't be a word used much in randstad (the densely populated ~West of The Netherlands). So it is by definition not as popular as gezellig.