The number of victims includes baby Logan Gomes, who was stillborn in hospital on 14 June, the day the 24-storey blaze broke out.
The final two victims to be formally identified have been named as Victoria King and daughter Alexandra Atala.
The Metropolitan Police said it was providing "every support we can" to the bereaved.
Commander Stuart Cundy said: "I have been clear from the start that a priority for us was recovering all those who died, and identifying and returning them to their families.
