Around 200 Met detectives are currently working on the case combing through millions of business records of companies.
The police said: “Where their role is considered relevant, digital downloads of all business records are being recovered.
“So far, in excess of 31 million documents have been recovered and it is anticipated that number will increase.
“Specialist software will be used to enable officers to process and search those millions of documents in order to find any relevant material that may be used evidentially at a later stage.”
The police also confirmed that they will be considering individual and corporate manslaughter charges.
A total of 60 people who died in the fire have now been formerly identified with the number of people who are believed to have died put at about 80.
Detective Chief Superintendant Fiona McCormack said: “The investigation into what happened at Grenfell Tower is a priority for the Met and we are determined to find the answers that so many desperately seek.
“Outside of counter-terrorism investigations, this is the biggest investigation the MPS is undertaking and the scale is huge.”
The forensic examination of the tower is ongoing and will continue into the New Year.
This includes photographing and documenting every room on every floor, paying particular attention to fire safety provisions such as fire doors, the standards of construction work, the routing of pipework and smoke extraction systems.