Here's why:
* He was a prominent Death Eater: Greyback was a powerful and dedicated Death Eater who fought alongside Voldemort.
* The Battle was chaotic: The Battle of Hogwarts was a large-scale conflict with many casualties on both sides.
* He was ruthless: Greyback was known for his brutality and cruelty, and he would have likely fought fiercely against the Order and the students.
Given his status and the circumstances of the battle, it's reasonable to assume that Greyback met his end during the fighting. However, J.K. Rowling never definitively stated how he died.