Furyk began the third round tied for fourth place with Woods, who completed his second round Saturday morning. The U.S. Open champion carded the best round of the day to hurdle a handful of players, including second-round leader Chris DiMarco.
At 17-under 199, Furyk is one shot better than Carl Paulson and four better than Woods, the defending champion of this event.
Paulson also shot 65 and is one stroke in front of Neal Lancaster, who fired a 66. Kenny Perry signed for a 66 and is among a quartet at 14-under 202.