Farragut is a city in Fremont County, Iowa, United States. The population was 490 at the time of the 2020 census. Farragut had its start in the y…Farragut is a city in Fremont County, Iowa, United States. The population was 490 at the time of the 2020 census. Farragut had its start in the year 1870 by the building of the Burlington & Missouri River Railroad through that territory. It is named for Admiral David Farragut.