The shark is more than 6 metres long and weighs over 2 and a half tonnes.
A team of marine conservationists claim they've come face to face with the world's biggest great white.
The divers swam with the female shark off the island of Oahu, near Hawaii.
She's been given the name Deep Blue and is believed to be around 50 years old.
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Conservationist Ocean Ramsey, who swam with the shark and touched her, claimed she was "gentle":
Speaking to the Honolulu Star-Advertiser, she said:
“She was just this big beautiful gentle giant wanting to use our boat as a scratching post. We went out at sunrise, and she stayed with us pretty much throughout the day.”
“We’re gonna need a bigger boat” ? Video of Deep Blue, biggest great white in the world. She is hapai, about 20 feet, feeding on the dead whale off Oahu’s south shore. Vid credit @oneoceandiving @mermaid_Kayleigh @OceanRamsey and @Juansharks more: https://t.co/QNywDQYrXE pic.twitter.com/vWriPdrtML
— Lynn Kawano (@LynnKawano) January 16, 2019