New Hampshirites who say they are likely to vote in their state's Republican Presidential primary favor Gen. Colin L. Powell over Senator Bob Dole and the other announced contenders, according to a poll made public today.

The survey, conducted by Chris Potholm, who has run a polling operation at Bowdoin College in Maine for two decades, found General Powell drawing 34 percent, compared with 25 percent for Mr. Dole, 16 percent for Patrick J. Buchanan and 16 percent undecided. If General Powell, who has not announced a candidacy, is excluded from the race, Mr. Dole leads with 35 percent.

The poll found that among Republicans describing themselves as moderates, General Powell was favored over Mr. Dole by 43 percent to 35 percent; among liberals, he was favored by 38 percent to 12 percent.

"The astonishing thing is this is a man who nobody knows is a Republican," said Mr. Potholm, a professor of government and legal studies at Bowdoin. "For Republican primary voters to embrace somebody to this degree I find truly extraordinary."