Deputy minister for civil aviation Joo Jong-wan said investigators are now discussing the best way to decode the flight data recorder, which is currently missing a crucial connector.
Officials from the US National Transportation Safety Board have been deployed to Muan to join the probe into the Jeju Air plane crash.
The Boeing 737-800 plane was travelling from Bangkok when it crash-landed at Muan International Airport on Sunday and slid into a wall off the end of the runway, bursting into flames and killing everyone on board except two crew members.
Many question remain unanswered and investigators are looking at the role a bird strike or weather conditions may have played.
The passengers on flight 7C2216 were aged between three and 78 years old, although most were in their 40s, 50s and 60s, according to Yonhap news agency. Two Thai nationals are among the dead and the rest are believed to be South Korean, authorities have said.
It had taken officials days to identify the bodies through fingerprints or DNA – with saliva samples collected from family members – as many of them have been severely damaged.
But on Wednesday, acting president Choi Sang-mok announced that all 179 victims on board the flight have now been identified.
New Year’s Day celebrations across the country have been cancelled or scaled down out of respect for the victims and their family, and authorities have announced a seven-day period of national mourning.
At a press conference on Tuesday, Jeju Air CEO Kim Yi-bae said that the airline was preparing emergency compensation for the victims’ families and would cover funeral costs.
He also said that a pre-flight inspection of the plane had found “no issues”. Investigations into the cause of the crash are still ongoing.