Trinitarians will of course insist they only believe there is one "God the Father." However, an examination of their claims shows that they really believe in four "God the Fathers":
- Jesus' Father (the first hypostasis)
- The Holy Spirit who fathered baby Jesus
- Jesus Himself
- The Triune Being
Because we read that Jesus was fathered by the Holy Spirit, the Holy Spirit begat Jesus, and because the Holy Spirit in Trinitarian doctrine, is a distinct third person, we have a situation where Trinitarians believe that this third person begat, fathered, baby Jesus. In Trinitarian doctrine then, the Holy Spirit is a "God the Father" since "God the Spirit" begat, fathered, Jesus.
Because Trinitarians interpret Isaiah 9:6 to be describing Jesus, and because the name given to this child is partly "Mighty God, Eternal Father," Trinitarians conclude that Jesus is here both God and Father, another "God the Father."
And again at Deuteronomy 32:39 YAHWEH indicates "I, I am HE, and there is no God besides ME." When we check to see who is speaking we find that Moses is referring to YAHWEH the Father in verse 6 and then YAHWEH begins to speak himself (through Moses) beginning at verse 20. So Trinitarians typically claim that "the Father" in view here is the Triune being.
So in Trinitarian theology, there there exists the absurd situation of having 4 "God the Fathers." Of course Trinitarians will want to insist that each of these is a Father in a "different sense" or something along those lines, as if that is going to help their situation. But it doesn't matter. They still have Four God the Fathers since each one of these identities is declared to be both God and "Father."
Jesus taught otherwise. He taught his disciples they only had one Father who was in heaven (Matthew 23:9).