The government dismissed the head of the prison and questioned more than 30 prison officials over the escape.
The office of Attorney General Arely Gomez issued a statement late Thursday confirming that the United States filed an extradition request for Guzman on June 25, about 2 1/2 weeks before he escaped.
Guzman faces U.S. charges of conspiracy to import and distribute cocaine.
The office said Gomez had issued instructions to review the request and submit it to courts for consideration. The appeals process can stretch out extradition proceedings for years.
Former Mexican Attorney General Jesus Murillo Karam said earlier that Mexico wouldn't extradite Guzman until after he had served time for all his crimes in Mexico.
Murillo Karam told The Associated Press earlier this year that the U.S. would get Guzman in "about 300 or 400 years."
Mexico has blamed the escape on a combination of Guzman's skill at building tunnels, and misconduct or corruption that allowed his people to get their hands on the blueprints for the prison and tunnel directly into his shower stall undetected.
President Enrique Pena Nieto, who had traveled to France for an official visit when Guzman escaped, returned to Mexico and said in a speech Friday that the prison escape has caused "indignation, frustration, anger in broad sectors of society."
But in what appeared be a reference to questions about why no high-ranking official has been fired in relation to the escape, Pena Nieto said "We are not going to solve this issue by getting angry, and filling ourselves with rage."
"The only way to answer this insult without doubt is by recapturing this criminal," he said.
Wire services
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