Approximately 600 people lived in Grenfell Tower's 120 apartments.
A Reuters witness saw a big piece of cladding falling from the building, 32 hours after fire engulfed the building in the early hours of Wednesday, turning it into a huge flaming torch in minutes.
Metropolitan Police commander Stuart Cundy said Wednesday night that the force do not expect to find any more survivors.
The blaze has led to outrage after repeated alleged oversights in fire safety with residents saying they had warned authorities for years that the flats would be potential death traps if a blaze broke out.
"If there are other buildings which have that risky cladding then immediate action needs to be taken in a matter of weeks, or months - not in a couple of years", he added.
Thirty-seven people are still receiving treatment in hospitals across London, with 17 still in a critical condition.
Outside the cordons, impromptu tributes appeared with photos of missing people, messages of condolences, flowers and candles. The cause of the flames has not yet been determined but the BBC reports that investigations are looking at the cladding on the outside of the building as a potential cause of the fire's quick and decisive spread.
Speaking live on the radio before she handed out gold awards in the 500 words contest, Camilla said, "I'm sure all of you here today would like to join me in sending our heartfelt thoughts and prayers to the victims, their families and friends, who were so tragically involved in the horrific fire in North Kensington".
"We have to get to the bottom of this, the truth has got to come out - and it will", he said during a visit to the estate neighbouring Grenfell Tower. "We owe that to the families".
The first victim of the tragedy was named Thursday by the Syria Solidarity Campaign as Syrian refugee Mohammed Alhajali.
London fire: Police boss hopes fatalities 'don't reach triple figures'
Fears grew for others, such Bassem Choukeir, his wife Nadia, her mother Sariyya and his three daughters Mirna, Fatmeh and Zaynab. Many people remain unaccounted for and officials are still not sure about the exact number of missing.
He said: "I was up for the suhoor".
The emergency services are gearing up for a third day of picking through the tower's charred remains in search of bodies.
Sajid Javid said there would be immediate action following the early conclusions from an investigative report into the blaze which has left at least 17 people dead. "We need an explanation. People deserve answers; the inquiry will give them".
It didn't go unnoticed by residents either.
The firm behind the work said the project met all required building regulations.
"Furthermore it will probably be some time before all victims are located due to the sheer difficulty of fire fighters working in a building which is unsafe and will require a meticulous search of the debris. We will demand and get answers".
The Prime Minister, Labour leader Jeremy Corbyn and Mayor of London Sadiq Khan all visited the scene of the tragedy on Thursday, where locals' anger at the inferno is growing.
"How many children died?"
London Fire Brigade chief Dany Cotton said firefighters were not able to access all the apartments in the tower because of structural safety concerns.
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