They must win four seats in the Senate and eight in the House to wrest control of both chambers from the Democrats.
It's not helping that President Bush is lagging in state polls and Democratic U.S. Senate candidate Barack Obama is enjoying national popularity.
Spokesman David Dring says House Republicans are focusing on three Democratic incumbents who were appointed when predecessors moved onto new jobs.
Steve Brown of the House Democrats says unelected incumbents always draw strong competition but that those the GOP are targeting have strong records.
Senate Republicans are pushing hard against two Democrats, one appointed and one freshman who knocked off a veteran Republican in 2002.