As Mr Trump wrapped up a three-day state visit to Britain and travelled to Ireland to meet Irish president Leo Varadkar, Mr Farage said he had noticed the level of preparation already being made by the US for once Britain leaves Europe.

“What I was struck by was how serious they are about this and [their] preparation,” he told The Independent. “They seem to have done a lot more thinking about this than we have.”

Asked if his main take away from Mr Trump’s visit, during which he met privately with the president, was that the US administration was ahead of its preparations for a post-Brexit than the UK currently was, he said it was. “It’s a fun week,” he added.

Mr Farage, whose recently formed Brexit Party secured 28 of the 73 British European Union seats and almost a third of the votes in last month’s European elections, has long criticised Ms May’s faltering negotiations to lead Britain out of Europe. Critics of Mr Farage say his populist image and media-friendliness cover up dangerously right wing views.

20 pictures that sum up President Trump's visit Show all 20 1 /20 20 pictures that sum up President Trump's visit 20 pictures that sum up President Trump's visit An awkward greeting As the Queen welcomed Trump to Buckingham Palace, he shared an awkward handshake with her. PA 20 pictures that sum up President Trump's visit "Oi Trump" Essex teenager Ollie Nancarrow mowed this message to Trump in a field near Stansted airport, in order that the president would be forced to see it as he came in to land. BornEco 20 pictures that sum up President Trump's visit A warm welcome Protesters gesture at the helicopter carrying the president as he arrives at Buckingham Palace on the first day of his visit. Getty 20 pictures that sum up President Trump's visit Inspecting the guard After arriving at Buckingham Palace, President Trump inspected an honour guard with Prince Charles. AP 20 pictures that sum up President Trump's visit Khan hits back After the president insulted Sadiq Khan, the London mayor, over Twitter as he landed in Britain, Khan hit back in this video released by Elle. PA 20 pictures that sum up President Trump's visit Mild reception on the Mall The Mall, the road leading to Buckingham Palace, was lacking in pomp as Trump arrived after his visit to Westminster Abbey, only a very small crowd turned out to see the spectacle. Reuters 20 pictures that sum up President Trump's visit Toast with the Queen The president shared a toast with the Queen at the state banquet on his first night in Britain. Reuters 20 pictures that sum up President Trump's visit Creepy kids This picture of Ivanka Trump and husband Jared Kushner, shared to Ivanka's Instagram, was described variously as "terrifying", like "nightmares" and "scarier than the shining." Getty 20 pictures that sum up President Trump's visit Rolling out the red carpet A red carpet was rolled out for the president's arrival to 10 Downing Street. Reuters 20 pictures that sum up President Trump's visit Meeting with May President Trump met with Prime Minister Theresa May on the second day of his visit. They did not speak privately but in a boardroom meeting. Reuters 20 pictures that sum up President Trump's visit Spouses get along First Lady Melania Trump and husband of the prime minister Philip May attended a garden party for the families of Downing Street staff while the two leaders were in their meeting. Getty 20 pictures that sum up President Trump's visit Baby blimp flies again The famous Trump baby blimp made a return in the protests against the president's visit, after first appearing in July last year. EPA 20 pictures that sum up President Trump's visit Crowd gathers A large crowd of protesters gathered in Trafalgar Square in London to protest the president's visit. Notable protesters included a man selling Donald Trump toilet paper and a man dressed as Vladimir Putin controlling a Trump puppet. PA 20 pictures that sum up President Trump's visit Protesters mix and mingle Supporters of the president and protesters of his visit clashed by Parliament Square on the second day of Trump's visit, with some supporters being hit by milkshakes. Reuters 20 pictures that sum up President Trump's visit Toilet Trump A 20ft statue of Trump tweeting while sitting on a golden toilet was placed in Trafalgar Square as protesters gather on the second day of the president's visit. Tom Batchelor / The Independent 20 pictures that sum up President Trump's visit Corbyn speaks In an address to protesters, Labour leader Jeremy Corbyn accused the president of spreading "hatred" and "racism" and expressed disappointment that Sadiq Khan had "been attacked in the way he was." PA 20 pictures that sum up President Trump's visit Churchill hat During his interview with the president on Good Morning Britain, Piers Morgan gave Trump a hat of a style favoured by Winston Churchill, one of Trump's heroes. ITV 20 pictures that sum up President Trump's visit Bus stop baby Activists Special Patrol Group installed this poster in to several bus stops around Portsmouth ahead of the president's arrival for D-Day commemorations PA 20 pictures that sum up President Trump's visit Fly-past with the queen President Trump watched the Red Arrows fly-past with the Queen at an event in Portsmouth to commemorate the 75th anniversary of the D-Day landings AFP/Getty 20 pictures that sum up President Trump's visit Commemoration speech The president gave a speech at an event to commemorate the 75th anniversary of the D-Day landings. Along with Trump, the prime minister and the royal family, French president Emmanuel Macron and 300 Second World War veterans were in attendance. AFP/Getty

The deal Ms May proposed and agreed with European leaders, was voted down three times in parliament, forcing her to agree to stand aside as leader of the Conservative Party and immediately triggering a contest to succeed her. Mr Farage, by contrast, has always said it would be better for Britain to leave with no deal than agree to the terms proposed by Ms May.

Ahead of his visit to Britain, Mr Trump told the Sunday Times he felt the UK’s negotiators had given too much away. “If you don’t get the deal you want, if you don’t get a fair deal, then you walk away,” he said. He also said the negotiators ought to find a role for Mr Farage, who had campaigned for Mr Trump in the 2016 presidential election.

“He has a lot to offer,” said the US leader. “He is a very smart person. They won’t bring him in. Think how well they would do if they did.”

Trump’s UK visit: Following the protests for three days

Asked about Mr Trump’s comments, Mr Farage said he would not add to the president’s remarks. “It’s not something we discussed.”

In his press conference with Ms May, Mr Trump dangled the prospect of a major US-UK trade deal once Britain leaves Europe.

“I would think that it will happen, and it probably should happen,” Mr. Trump said of the prospect of Brexit happening. “This is a great, great country and it wants its own identity,”

Speaking about trade, he said: “As the UK makes preparations to exit the European Union, the United States is committed to a phenomenal trade deal between the U.S. and the UK. There is tremendous potential in that trade deal. I say probably two or even three times of what we’re doing right now.”

Mr Trump also triggered outrage among many Britons by claiming the National Health Service would have to be “on the table” in any trade deal negotiation.

He later rolled back his remarks, telling ITV: “I don’t see it being on the table. Somebody asked me a question today and I said everything is up for negotiation because everything is. But I don’t see that being – that’s something that I would not consider part of trade.”