When Jesus prays to the Father, and when he says the Father is greater than He is, it is a matter of filial relationship. Isn’t your father greater than you are? Don’t you ask him for favors, etc.?
Although the Father is greater than He is, He still shares the power, glory, and majesty of the Holy Trinity.
He not only shares it; Jesus is fully God.
the Father can be said to be greater than the Son pertaining to their relation within the inner life of God, but not with respect to their shared nature as being fully and equally God. The Father alone is the first principle of life in the Godhead; thus, the Catechism of the Catholic Church can say, in paragraph 246: “Everything that belongs to the Father, except being Father, the Son has also eternally from the Father, from whom he is eternally born . . .” (emphasis added). In this sense, the Father can be said to be greater than the Son relationally, while they are absolutely equal with regard to their essence as God.
Another—and perhaps simpler—way one can legitimately interpret this text is to point out that John 14:28 seems to be emphasizing the humanity of Christ. Thus, because Jesus is fully man, it would be appropriate to say the Father would be greater than the Son. The entire verse reads: “You heard me say to you, ‘I go away, and I will come to you.’ If you loved me, you would have rejoiced, because I go to the Father; for the Father is greater than I.”
Jesus was emphasizing here and in previous verses his impending death, resurrection, and departure from the apostles. This would apply to his humanity most particularly. Thus, the same Jesus who can say, “I and the Father are one” in John 10:30—as God—can say, “The Father is greater than I” in John 14:28—as man.
catholic.com/thisrock/2008/0811btb.asp
Also,
John 14:28 is to be understood in light of passages such as Philippians 2:6-8, which show us that Christ in John 14:28 was speaking strictly in terms of his office as Messiah, which entailed a giving up, not of the Divine Nature, but of certain prerogatives of glory and Deity which are enjoyed by the Father. Christ subjected Himself to the Father in order to undertake His role as the Incarnate Son and Mediator between God and man (1 Tim 2:5). Similarly, one might say that “the President of the United States is a greater man than I am,” but this would not mean he was necessarily a better man. In any event, he is still a man like us. Since Jesus is still God, even while “humbling” Himself (Phil 2:8), Scripture also indicates that the Father is, in a sense, “subject” to the Son:
JOHN 16:15 All things that the Father hath are mine: therefore said I, that he shall take of mine, and shall shew {it} unto you.
JOHN 16:23 And in that day ye shall ask me nothing. Verily, verily, I say unto you, Whatsoever ye shall ask the Father in my name, he will give {it} you.
When the Father is called the “head” of the Son (1 Cor 11:3), this also does not entail any lessening of the equality between the Son and the Father. The Bible also talks about wives being subject to their husbands (1 Pet 3:1,5), even while the two are equals (Gal 3:28, Eph 5:21-22), and indeed, “one flesh” (Mt 19:5-6). Likewise, one Person of the Godhead can be in subjection to another Person and remain God in essence and substance (Phil 2:6-8). Luke 2:51 says that Jesus was “subject” to Mary and Joseph. Yet no orthodox Christian of any stripe would hold that Jesus was lesser in essence than His earthly parents! The same Greek word for “subject” in Luke 2:51 (hupotasso) is used in 1 Cor 15:28, and in 1 Pet 2:18 below. Besides, submissiveness and servanthood is not presented as a sign of weakness in Scripture. Quite the contrary:
socrates58.blogspot.com/2007/01/jesus-is-god-biblical-proofs.html