Andrea Eife (later Gemsleben, born 12 April 1956 in Leipzig) is a German former swimmer who competed in the 1972 Summer Olympics. She won a silver medal in the 4 × 100 m freestyle relay and finished fifth and sixth in the individual 200 m and 100 m freestyle events, respectively. At the 1973 World Aquatics Championships, she won a bronze medal in the 200 m freestyle and a gold medal in the 4 × 100 m freestyle relay, breaking the world record. The next year, she repeated these medal achievements at the 1974 European Aquatics Championships.