that’s the problem그게 is a shortened form of 그것이, meaning “that” as the subject. 그게 문제야 is the common conversational form, while 그게 문제다 is more formal or written. The phrase can also be followed by particles or endings, such as 그게 문제가 아니야 (“that’s not the problem”).
KO: 네가 내 말을 믿지 않는 것, 그게 문제야.
EN: The fact that you don’t believe me—that’s the problem.