The death toll stands at 17, but that could greatly increase, as rescue officials said they're not expecting to find any more survivors.
"We've got structural surveyors and my urban search and rescue team who are going to come down, make an assessment and find a way of making the building safe so that we can go through the whole building, fingertip search, painstakingly, looking to see what's in there", she said.
The Fire Brigades Union, which represents most of Britain's firefighters, earlier said the firefighters and other emergency personnel were "doing a particularly hard job".
"We as the police have started an investigation, I mentioned when I was down at the scene this morning that one of our very senior investigating officers is leading that for us", the commander said.
Fire commissioner Dany Cotton said parts of the tower were unsafe and it would take weeks to fully search the building.
After the visit, she said: "I know we've all heard absolutely heart-breaking, as I did this morning, heart-breaking stories of the people who were caught up in this awful, bad tragedy and I want to reassure the residents of Grenfell Tower, all of whom are in our thoughts and prayers at the moment".
"The flames, I have never seen anything like it".
However, LFB added that the cause of the fire was still unknown.
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Prosecutors and police detectives read aloud portions of Cosby's statements to police in 2005 and in a civil deposition in 2006. One, who would only give his first name as Garvey, said this was about race - a number of Cosby's accusers are black.
"We need to know what happened, we need to have an explanation of this, we owe that to the families, to the people who have lost loved ones, friends and the homes in which they lived". "People were absolutely devastated by yesterday's events".
London Mayor Sadiq Khan said fire fighters had only able to reach the 12th floor at the height of the blaze.
"Our absolute priority for all of us is identifying and locating those people who are still missing", Cundy said before declining to comment on speculation about the likely final death toll: "It would be wrong for me to get into numbers that I do not believe are accurate".
"Ferrier Point was subject to strict building control when it was refurbished to ensure construction and materials used met with fire safety legislation".
Labour leader Jeremy Corbyn also toured the area, meeting with volunteers and helping victims.
There are several ways you can help donate money to the people who have lost their homes.
Her younger sister phoned the emergency services number and was told to remain in the flat.
Last night Adele made a low-key visit to Grenfell Tower, where she comforted local residents dealing with the fire's aftermath. I feel very angry that it was possible for the fire to spread in the way it did.
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