Geycke ran his own workshop in Hamburg.
Georg Wilhelm Wilhelmy (1748–1806) was his journeyman.
From 1765 onwards, Geycke succeeded in persuading the itzehoer organ builder Johann Daniel Busch (1735–1787) from Hamburg.
[1] His son Joachim Wilhelm Geycke (1768–1840) continued his father's workshop.
His grandson was the Hamburg organ builder Christian Heinrich Wolfsteller (1830–1897), his son-in-law the organ builder Balthasar Wohlien (1745–1804) from the well-known Altonaer Wohlien [de] family of organ builders.