WASHINGTON -- British Prime Minister Gordon Brown told President George W. Bush on Monday that he shares the U.S. view that there are "duties to discharge and responsibilities to keep" in Iraq.

"Our aim, like the United States', step-by-step to move control to the Iraqi authorities," Brown said.

Bush and Brown have wrapped up two days of talks at Camp David.

As it did so often when the president talked to Brown's predecessor, Tony Blair, Iraq is dominating the discussions.

While the U.S. military presses on with Bush's "surge" plan, British forces plan to hand over their sector to Iraqis later this year. Though officials deny a quick pullout of the 5,000 remaining British troops is on the table, there's no denying the future of their mission is up for discussion.

Brown said that decisions about troops would only be made "on the military advice of our commanders on the ground," echoing language often heard from Bush.

"We're in a generation-long battle, and it is a battle in which me must give no quarter," Brown said.

Brown insists there's been no cooling of the U.S.-U.K. relationship since he took over from Blair last month.

"We've had full and frank discussions," Brown said. "We've had the capacity to meet and discuss some of the great issues of our time. All challenges can best be met when the United States and United Kingdom work in a partnership."

Bush said the discussions were positive ones.

"He probably wasn't sure what to expect from me," Bush said. "We had a casual and good discussion. The notion of America and Britain sharing values is important."