New car smell or not, Democratic voters hold her in such high regard that she outdistances anyone else in polling of possible Democratic candidates for 2016.

One of them is Vice President Joe Biden, who has not ruled out a third run for the White House.

Eight in 10 Democrats held positive views of Clinton in an Associated Press-GfK poll conducted in late July. Biden had a 71 percent favorable rating in the survey.

Obama acknowledged that Hillary Clinton won't agree with him on everything, suggesting that such a stance would be a welcome break for voters after eight years of Obama. A benefit of running for president, he said, “is you can stake out your own positions.”

The 2016 presidential race could feature a repeat face-off between a Clinton and a member of another leading American political family: former Florida Gov. Jeb Bush, who is considering entering the 2016 race. His father and brother both were elected president.

Three of the past four presidents dating to the 1988 election have been named Bush or Clinton.

Jeb Bush's father, George H. W. Bush, was elected president in 1988. He lost re-election in 1992 to Bill Clinton, who served two terms. Jeb Bush's brother, George W., then defeated Clinton's vice president, Al Gore, in 2000 and was re-elected in 2004. The elder Bush also served two terms as vice president to Ronald Reagan.

In the AP-GfK survey, Jeb Bush was most popular among potential 2016 Republican presidential candidates, with 56 percent of Republicans viewing him favorably. Majorities also held positive views of outgoing Texas Gov. Rick Perry and Kentucky Sen. Rand Paul.