Hamilton's victory at Silverstone took him level with Jim Clark and Alain Prost on five wins at the race and his pole position on Saturday put him two clear of Ayrton Senna and just one short of Michael Schumacher's record.
Ferrari driver Kimi Raikkonen was on course for second place finish. "I don't think so", said a philosophical Vettel, whose tyre woes happened moments after team mate Kimi Raikkonen had suffered the same fate. "I'm really happy as with all that negativity that came into the weekend to be able to perform the way I have". For the second race in a row, Daniil Kvyat slammed into yet another vehicle, this time, with team mate Carlos Sainz Jr.
"There was no sign of that happening", said Vettel over the team radio. "It's just one of those things", said the German.
The only other non-finisher was Carlos Sainz, who was taken out in an opening lap incident with Toro Rosso teammate Daniil Kvyat at Becketts, the Russian running off the road and tagging Sainz as he joined. A safety auto was called out after the incident, halting the race until lap four.
Bottas, having started ninth after taking a penalty for an unscheduled gearbox change, was soon up to fifth with a set of clean passes. The fight between the two continued until Vettel finally pitted after being unable to pass Verstappen. Nico Hulkenberg secured sixth for Renault ahead of the Ferrari of Sebastian Vettel.
Hamilton had a flawless race leading from start to finish.
Bottas had an awesome start to take Perez off the line, and in his factory Mercedes he made quick work of Hulkenberg and Ocon as well.
Hamilton got a strong start to stay ahead of Raikkonen, whilst Vettel came under pressure from Verstappen as the pair switched places at Turn 1. There was further bad luck for Fernando Alonso though when he retired with yet another engine failure. Hamilton was unchallenged throughout the race and won by a comfortable 10 second margin.
Vettel was fourth behind Bottas when his tyre deflated through Brooklands and caused him to run off the track.
This encouraged the men behind him to close in for the final laps as Hamilton reeled off another fastest lap to prove his mastery. Vettel, already enduring a hard afternoon, had been due to cross the line fourth until a punctured front left tyre two laps from the end forced the German to pit, dropping him down to seventh at the flag.