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Published 10:18 27 Mar 2017 BST
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Mr Edgar also addressed claims that Madeleine's parents know what happened to her:
"I was looking at everything and that would include them,” he told the Mirror.
“If I found any evidence against Kate and Gerry I would have given it to the police immediately. Kate and Gerry would expect no less. But I found no shred of evidence.
“We obviously look at all factors – motive, preparation, opportunity – and there was absolutely nothing.”
Mr Edgar believes she may still be alive and may be held by her abductors.
Earlier this week, Kate McCann was forced to defend herself against claims that she profited from the sale of her book about her daughter's disappearance.
“For those posting that we are trying to make money, you are absolutely wrong.” she posted on Facebook.
A representative for the Facebook page Find Maddie said that an advance Kate McCann had received for the book went towards the fund that pays for the continuing search for Madeleine.Explore more on these topics: