He said Khashoggi's close friends and family had urged activists to protest "in key states that are close to the Saudi regime and giving them diplomatic cover".
"They aimed to ensure no sign of the body was left".
The squad leader, Salah Muhammad al-Tubaigy, the head of forensic evidence in the Saudi general security department, started cutting Khashoggi's body while he was alive.
"Now we see that they did not only dismember his body but also vaporised it".
It also is pressing Saudi Arabia for information about who ordered Khashoggi's killing and the location of his remains.
A political opponent of Erdogan's said Friday the killers who ambushed Khashoggi were allowed to leave the country after a phone call from Saudi King Salman to Erdogan.
Israeli Prime Minister Benjamin Netanyahu has called the slaying of Saudi journalist Jamal Khashoggi a horrendous act that "should be duly dealt with" in a way that doesn't undermine Saudi Arabia's stability. The Saudi government publicly has called his death a "terrible tragedy".
The crown prince also reportedly urged President Trump's advisers Jared Kushner and John Bolton in the call to preserve the alliance between the USA and Saudi Arabia.
Public statements share a different sentiment - the government had called Khashoggi's death a "terrible mistake" and a "terrible tragedy".
Crown Prince Mohammed bin Salman is predicted to be in power for at least 50 more years, which has prompted the Trump administration to stand by the monarch.
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Media captionHow has the death of Jamal Khashoggi impacted the war in Yemen? "To claim otherwise would be ridiculous".
What has the investigation found so far?
Turkey's chief prosecutor on Wednesday confirmed for the first time that Khashoggi was strangled as soon as he entered the consulate on October 2 as part of a planned hit, and his body was then dismembered and destroyed.
Saudi Arabia has changed its statement on the events surrounding Khashoggi's disappearance multiple times. It later admitted he had been murdered, saying the killing was premeditated and a result of a "rogue operation". Turkey wants them extradited.
Activists erected a mock street sign on Friday in central London, just outside the gates of Saudi Arabia's embassy in the United Kingdom capital.
They also investigated an abandoned auto belonging to the Saudi consulate in an underground vehicle park in Istanbul.
What do other countries say?
Saudi Arabia has attracted worldwide opprobrium for its handling of the case.
Pompeo, in an interview with KMOX radio in St. Louis, said President Donald Trump had made it clear Washington would respond to the killing.
"It'll take us probably a handful more weeks before we have enough evidence to actually put those sanctions in place, but I think we'll be able to get there", Pompeo said.