Previous estimates have stepped into triple figures as firefighters search the gutted building flat-by-flat.
Many residents of the building remain unaccounted for, and police said numerous remains may never be identified. British health authorities say that 19 patients are still being treated at four London hospitals.
More than a thousand protesters descended on Whitehall on Friday evening as fury over the disaster came to a head.
"It is hard to escape a very sombre national mood", Elizabeth said in a message on her official birthday.
The queen and her husband, Prince Philip, stood silently on the steps of Buckingham Palace before the start of the Trooping the Color that each year marks the queen's official birthday, which is traditionally celebrated in June when the weather is warm. I have fixed a deadline of three weeks for everybody affected to be found a home nearby.
Ms May, who was criticised a day earlier for not meeting with locals and survivors, visited the area again on Friday to meet with some locals inside a church.
PSG, Maxwell: "Spero di restare nello staff. Verratti? Non ha prezzo"
PSG-Verratti, è rottura - " Può fare quanto foto vuole, ma verrò in ritiro con noi, non lo vendo ". Una duello di mercato che ha tutta la sensazione di essere solo all'inizio...
A fire safety expert said that the blaze was "entirely avoidable".
Her political future - already in doubt after her Conservative Party lost its governing majority in snap elections she called - has been further questioned because of her response to the fire.
Mrs May had received criticism after visiting the scene of the blaze on Thursday, but failing to meet any of the survivors. Numerous displaced are living in churches and community centers.
Ms May today announced a $NZ8.8 million fund following meeting with survivors of the Grenfell Tower tragedy. There is ample food and water, but very little privacy or proper bedding.
Protesters stormed the local town hall in Kensington demanding action in the wake of the devastating Grenfell Tower fire.
Communities and Local Government Secretary Sajid Javid said inspections of similar buildings had been ordered, with particular attention to the modern cladding used to beautify and add insulation to ageing concrete and steel structures.
Some desperate residents pleaded to speak to the queen and her grandson about their plight and the fate of missing children as they left the site, with William promising he would return.