God the Father is a name that distinguishes the Father as the first person of the Trinity. Jesus (Yeshua‘) is the Son of God. Through faith in Jesus we become sons and daughters of the Father and then the name that Paul used, God our Father, can be used by us too.
Several other New Testament names include the word “Father.”
God the Father in Greek:
Strong’s Concordance numbers: 2316, 3962
Bible references: Tit. 1:4; 2 Pet. 1:17 (thirteen times in total).
He received honor and glory from God the Father when the voice came to him from the Majestic Glory, saying, “This is my Son, whom I love; with him I am well pleased.” (2 Peter 1:17 NIV)
God our Father in Greek:
Theos pater hēmōn
Strong’s Concordance numbers: 2316, 3962, 2257
Bible reference: 1 Cor. 1:3
Grace be unto you, and peace, from God our Father, and from the Lord Jesus Christ. (1 Cor. 1:3 KJV)