He made six bogeys and three double bogeys the rest of the way for an 81.
Mickelson's round on Thursday included five bogeys and two double bogeys, with the American holing just two birdies.
The always unpredictable John Daly carded 72 after five topsy-turvy holes from the 13th - two double bogeys, a bogey and two birdies.
Ryder Cup captain Colin Montgomerie stormed through the field with an eight-under 64 after finishing his second round with a pair of double bogeys.
Woods saw his hopes of an unlikely fourth Open title end with two double bogeys on the front nine on the way to a final-round 72 to finish three under.
However, McGowan struggled, posting double-bogeys on the ninth and 10th in a one-over round of 73.
The 37-year-old Darren Clarke endured a catastrophic third round which included three double-bogeys.
Driscoll did not make the third-round cut, which is the top 70 players, having carded one birdie and two double-bogeys in his opening nine holes.
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Pre-tournament favorite Henrik Stenson completed a disappointing week on his home course in Malmo, closing with two double-bogeys after dropping four shots on the front nine.
Fiji's world number four Vijay Singh, the event's highest-ranked player, finished level after a 73 that included an eagle, three straight birdies, a triple bogey, a double and three other bogeys.
Westwood, who recently moved his family from England to Florida, led at one stage on the front nine but was undone by a double bogey and two bogeys on the back nine.
"You can make a lot of birdies and eagles, make up a lot of ground, but there's a lot of water and trouble there that if you misstep you can easily make bogeys and double, " he added.
Garcia fared a lot worse in the incessant downpour, his six-over effort featuring five bogeys and a double-bogey on the par-three 16th.
It is the first time Woods has played the tournament, and his four birdies were tempered by three bogeys and a double bogey.
McDowell, who began the day at five under, slipped out of contention after a round featuring five bogeys and a double bogey at the 17th.
Two bogeys and a double bogey between the 14th and the 17th took some of the shine off his victory and allowed Snedeker and Teater to narrow the gap.
Francesco had five bogeys and failed to make a birdie, while Edoardo slipped to an 81 that contained a triple bogey eight, a double bogey and two closing bogeys.
The 21-year-old from Northern Ireland was out in the harshest of the weather, which caused a delay of just over an hour, and six bogeys and a double bogey told the tale of his miserable day.
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Noren, whose only European Tour victory was at the European Masters in 2009, had a mixed start with three birdies, two bogeys and a double -- and he faces a long birdie putt at the ninth when he returns on Sunday morning.
Johnson missed just three greens in regulation during his double round and he carded only three bogeys in 36 holes.
The double-bogey, foretold two more bogeys and triple-bogey on the back nine, finishing Couples with a 77 and at even par for the tournament.
Jim Furyk, never known for flashy play, had only two bogeys through two rounds, until he double-bogeyed the 15th hole.
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Fisher scored 34 on his outward nine but bogeys at the 14th and 15th, and a double-bogey on the par-four 17th severely hampered his title bid.
Westwood had three bogeys in his first five holes and then finished with a double-bogey sixth to end on four over.
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