Three Daughters

Classic Riddles
One of my neighbours has $3$ daughters.

"How old are they?" I asked.

"The product of their ages is $36$," he replied.

I said, "That's not a great deal of help. Throw me a bone, here."

"Okay," he said, "the sum of their ages equals our house number."

I went outside to look at the front door to remind myself what that was, and said, "Nope, still can't work it out."

"My oldest daughter is the only one in the family who has green eyes."

"Aha," I replied, "got it. Their ages are ..."

and I told him.