Metropolitan Police commander Stuart Cundy responded to speculation that the number of dead could exceed 100, saying: "For those of us that have been down there, it's pretty emotional, so I hope it is not triple figures, but I can't be drawn on the numbers".
At least 30 people were killed in Wednesday's (NZT) fire and the death toll is expected to rise. "United in our sadness, we are equally determined, without fear or favor, to support all those rebuilding lives so horribly affected by injury and loss".
He also cautioned there may have been people in the tower that police are not aware of, which would add to the death toll.
Queen Elizabeth and her grandson Prince William visited a community center Friday close to where the disaster happened, and spoke to people affected by the tragedy.
Grenfell Tower was home to about 600 people and whole families remain missing after the fire, which forced residents to flee through black smoke down the single stairwell, jump out of windows or even drop their children to safety.
The Prime Minister came under fire as she visited victims of the tragedy and was heckled as she left.
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On June 14, just after midnight, a fire began on the fourth floor of Grenfell Tower located in north Kensington, a district of west London. What are you going to do about it?
"The bad news, I'm afraid, is lots of people died in the fire". Officials cited security concerns and suggested she didn't want to distract police and others from their work.
Mrs May, who made a brief, private visit to the scene earlier, said: "The emergency services told me that the way this fire spread and took hold of the building was rapid, it was ferocious, it was unexpected".
The leader of Kensington and Chelsea Council - the authority that owns the tower block - told the BBC it would not use the type of cladding fitted to Grenfell Tower in other buildings in the borough.
During the interview, Mr Cundy also formally identified a first victim as 23-year-old Mohammed Alhajali who lived in the tower block.
More than 3 million pounds ($3.8 million) have been raised for the victims, and the British government has announced a 5 million-pound ($6.3 million) emergency fund.