Kim, the reigning U.S. Women's Amateur champion, topped Amy Ruengmateekhun, 4 and 3 in the first round of match play and then topped Tessa Teachman, 5 and 3 in the second round. In that second match, Kim won four straight holes to wipe out a three-hole deficit and then won two consecutive holes, nine and 10, to take a big lead.
Harigae, who won this year's U.S. Women's Amateur PubLinks, breezed past Jaclyn Jansen, 6 and 4 and then beat Jennifer Song, 4 and 3 in round two.
Attempting to become just the sixth golfer to win two USGA championships in the same year, Harigae didn't trail in her match with Jansen and then finished off Song, the low amateur at this year's U.S. Women's Open.
Alexis Thompson, who at the age of 12 was the youngest player to ever compete in the U.S. Women's Open, beat Brittany Henderson, 5 and 4 in the first round, but then fell to Stephanie Kono, 3 and 2 in the second round.
Mary Michael Maggio, Maria Uribe, Kristen Park, Stacey Kim, Haley Sanders, Tessa The, Sarah Brown, Demi Frances Runas, Mitsuki Katahira, Michelle Shin, Ayaka Kaneko, Tiffany Lua and Sue Kim also advanced to the third round.
The third and quarterfinal rounds will be Thursday. The semifinal matches are slated for Friday and the 36-hole championship is Saturday