Also Thursday, a car bomb targeting a funeral procession in the turbulent city of Fallujah killed at least 26 people, police and medical officials said.
The military confirmed Thursday that the body found a day earlier in the Euphrates River south of Baghdad was that of Pfc. Joseph Anzack Jr., who had been missing since militants ambushed his unit nearly two weeks ago.
A commanding officer identified the remains recovered from the river, but DNA tests were still pending, military officials told Anzack's family.
"They told us, 'We're sorry to inform you the body we found has been identified as Joe,"' the soldier's aunt, Debbie Anzack, said Wednesday. "I'm in disbelief."
Anzack, 20, vanished along with the two other soldiers after their combat team was ambushed May 12 about 20 miles outside Baghdad. Five others, including an Iraqi, were killed in the ambush, subsequently claimed by al Qaeda.
"We can confirm that we have recovered the remains of Pfc. Anzack," Lt. Col. Josslyn Aberle, a military spokeswoman, said Thursday.
The attack triggered a massive search operation in the area south of Baghdad known as the triangle of death for the insurgent activity there.
CBS News correspondent Mark Strassman reports the confirmation hits hard for U.S. soldiers conducting the search, and all the others in Iraq, who had held out hope that the search would somehow have a happy ending.
Their focusing now, Strassman says, not on grief, but on the fact that there are two more soldiers still out there, unaccounted for.
Thursday, they proceeded with their mission, despite Anzack's death. One unit searched chicken coops and trudged through mud, canals and tall reeds in the brutal heat.
"The search continues," said Lt. Col. Christopher Garver, a U.S. military spokesman.
Members of Anzack's platoon choked back tears at news of his death and said they would not stop looking for the other two missing soldiers.
"We can't leave them behind. I just hope that they have enough faith to keep them going. What they're going through right now, I can't imagine," said Pfc. Sammy Rhodes, 25, of Albuquerque, N.M.
Spc. Daniel Seitz, 22, from Pensacola, Fla., said he was trying to stay strong and push ahead with the search.
"It just angers me that it's just another friend I've got to lose and deal with, because I've already lost 13 friends since I've been here and I don't know if I can take any more of this," he said.
Conflicting reports have emerged about the Iraqis possibly finding the body of more than one U.S. soldier Wednesday, reports Strassman. U.S. Military sources have insisted they received only one body — Anzack's, and no others.
Aberle denied the reports that a second body had been found and was being examined to determine if it was that of another of the missing soldiers. "The reports of a second set of remains being found is a false report," she said.
The U.S. military also announced Thursday that two U.S. soldiers were killed the day before while conducting combat operations in Iraq's volatile Anbar Province. Those deaths, along with the deaths of nine other troopers announced Wednesday, brought the American death toll for the month to at least 82. Last month, 104 U.S. troops were killed in Iraq.
In other developments: