Friedrich Edouard Heinrich Wulf Krichauff (15 December 1824 – 29 September 1904) was a politician in colonial South Australia. Krichauff was born in Schleswig, Schleswig-Holstein, Germany, the son of Carl Krichauff, a judge of the Supreme Court of the Duchy of Schleswig, and his wife Julie, née von Bertouch. Krichauff briefly served as a Minister in May 1870, when he was Commissioner of Public Works for twenty days in Henry Strangways' reconstructed Cabinet. He was returned to the South Australian Legislative Council in June 1890 for the Southern District, holding the seat until 18 May 1894.