Greijdanus was born in Arum, Friesland and studied theology at the Free University in Amsterdam, where he specialized in dogmatics.
As a minister, he served the Reformed churches of Rozenburg, Zuid-Beijerland and Paesens-Moddergat.
Greijdanus wrote a number of commentaries in the Korte Verklaring series: Luke, Galatians, Ephesians, Philippians, Johannine epistles, Petrine epistles, and Revelation.
Aalders, F. W. Grosheide, and Jan Ridderbos, Greijdanus "took the lead in Neo-Calvinist exegetical production.
"[3] Nevertheless, he opposed certain ideas propagated by the Neo-Calvinist Abraham Kuyper, and in 1944 he joined Klaas Schilder to form the Reformed Churches in the Netherlands (Liberated).