The quake occurred approximately 75 miles from the capital city.
Frida, a rescue dog belonging to the Mexican Navy's canine unit, has been working to sniff out survivors in Mexico City after the quake.
Rescuers spent more than 30 hours digging through the rubble after believing children were trapped under a wing of Enrique Rebsamen School that collapsed when a 7.1 natural disaster struck near Mexico City on Tuesday. She was in her office when the quake sent her office building down on top of her on Tuesday. Just hours before the latest quake, many people took part in drills and commemorative events.
All but one of the 65 corpses examined by the service have been handed over to next of kin, it said.
Glyka says his family in Mexico isn't working right now, putting their lives on hold while the safety of numerous buildings is being assessed.
In Mexico City alone, more than 1,900 people have been treated in health facilities after the quake and majority have been discharged, according to Pena Nieto.
The U.S. Agency for International Development sent a team of more than 60 disaster responders and tools and medical equipment to Mexico City on Thursday.
At one point, Mexican broadcaster Televisa reported that the girl had alerted rescue workers to four more people who were trapped around her. In Mexico City's Colonia Obrera neighborhood, cheers erupted from more than 1,000 volunteers and officials after they pulled a survivor from the rubble of a textile factory Thursday.
"I need to recognize the volunteers who are unconditionally helping those who need it", Pena Nieto said.
"We've done an accounting with school officials, and we are certain that all the children either died, unfortunately, are in hospitals or are safe at their homes", said Navy Assistant Secretary Angel Enrique Sarmiento.
Rubble from the building litters the streets as the rescuers crouch down to retrieve the survivors.
Francisco Javier Mendez, who has a daughter believed to be trapped inside, said he was told "maybe six" people were still alive in the building. With TV networks keeping a round-the-clock vigil as rescuers scrambled to locate and rescue the girl, the false reports of her location spread like wildfire. In Tlalpan, the dead bodies of two women, mother and daughter, were extracted, but two other women were confirmed to be alive among the rubble, and communication with them had been established.