Buna Ziua :) They have similar meaning "Spread" but usage is different. Difference is 퍼지나 is just spread, however, 번지다 case situation, status, or circumstance is chagned after spreading Ex) 소문이 퍼지다 Rumors are spreading / 질병이 쉽게 퍼지다 The disease spreads easily 불이 번지다 The fire Spreads / 옷에 얼룩이 번지다 Stain spread across cloth