The quake hit in the middle of the night on Friday, sending panicked people fleeing into the streets. The powerful quake has affected at least 50 million people in 12 states.
The interior department in neighboring Puebla state evacuated 1,500 people to storm shelters as a preventative measures, but reported no serious damage or deaths.
The State Secretariat of Education reported 792 schools damaged by breaks and extensive cracks.
Teams found bodies in the rubble, but the highlight was pulling four people, including two children, alive from the completely collapsed Hotel Del Rio, where one woman died.
Almost 2 million people were left in the darkness without power following the quake, and schools in 11 states were closed as a safety measure.
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It was strong enough to cause buildings to sway violently in the capital city more than 650 miles (1,000 kilometres) away. Authorities say two people were killed by a landslide in Veracruz state.
President Enrique Pena Nieto described the quake as "the largest registered in our country in at least the past 100 years" - stronger even than a devastating 1985 natural disaster that killed more than 10,000 people in Mexico City.
It hit off Chiapas' Pacific coast, near the Guatemalan border with a magnitude of 8.1 - equal to Mexico's strongest quake of the past century. A third of the homes in Juchitan, Oaxaca, were also toppled or rendered uninhabitable.
In a televised address Friday, Pena Nieto declared three days of mourning.
The remains of brick walls and clay tile roofs cluttered streets as families dragged mattresses onto sidewalks to spend a second anxious night sleeping outdoors. Some of the people were newly homeless, while others feared that aftershocks could topple their cracked adobe dwellings.
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Meanwhile storm Katia made landfall in the east as a Category One hurricane and hours later was downgraded to a tropical storm with maximum sustained winds of 45 miles (70 kilometers) per hour.
The Hurricane Center said Katia could still produce 3-6 inches of additional rain in a region with a history of mudslides and flooding. A hospital also collapsed, Pena Nieto said after touring the city and meeting with residents.
A crowd had formed at Juchitan's partially collapsed town hall, a Spanish colonial building where two policemen were trapped in the rubble. "We are used to earthquakes, but not of this magnitude".
The Pacific Tsunami Warning Centre said tsunami waves had been detected but on Friday night U.S. time they confirmed that the "threat had now passed".
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McMaster took the opportunity to remind residents that even when the storm has passed, the challenges it brings will not be over. Lane reversals are not planned at this time but that could change as evacuations take place, McMaster said.