This is based on several factors:
* Internal evidence: The letters themselves claim to be written by Paul (e.g., 1 Corinthians 1:1, 2 Corinthians 1:1).
* Early Christian tradition: Early Church Fathers, like Clement of Rome and Irenaeus, attributed the letters to Paul.
* Linguistic and stylistic similarities: The letters share a similar writing style and vocabulary with other letters known to be written by Paul.
While there have been some alternative theories proposed throughout history, the vast majority of scholars agree that Paul is the most likely author of 1 and 2 Corinthians.