What is the difference between God and the Spirit of God? There are passages that appear to establish an identity between God and his Spirit:

24 God is spirit, and those who worship him must worship in spirit and truth.” [John 4:24, ESV]


17 Now the Lord is the Spirit, and where the Spirit of the Lord is, there is freedom. 18 And we all, with unveiled face, beholding the glory of the Lord, are being transformed into the same image from one degree of glory to another. For this comes from the Lord who is the Spirit. [2 Corinthians 3:17-18, ESV]

However, other passages appear to make a distinction between the two, as if God and his Spirit were different beings. The passage that is most clear in this regard, in my opinion, is 1 Corinthians 2:10-13:

10 these things God has revealed to us through the Spirit. For the Spirit searches everything, even the depths of God. 11 For who knows a person's thoughts except the spirit of that person, which is in him? So also no one comprehends the thoughts of God except the Spirit of God. 12 Now we have received not the spirit of the world, but the Spirit who is from God, that we might understand the things freely given us by God. 13 And we impart this in words not taught by human wisdom but taught by the Spirit, interpreting spiritual truths to those who are spiritual. [1 Corinthians 2:10-13, ESV]

So, on the one hand, God is Spirit, but on the other hand, God has a Spirit. Does this mean that God is Spirit and has a Spirit simultaneously? Is there any difference between God and his Spirit? How can we make sense of all this?
What is the difference between God and the Spirit of God?  What is the difference between Christ and the Spirit of Christ? What is the difference between the Father and the Son?
We could go on and on.  If we understood this perfectly, we would be God and that is untrue so we can never understand this question finally.
The church fathers simply asserted (in their desperation to say something) that all three are of the same substance but different in function.  I am unaware of any better (although hopelessly inadequate) statement.
The Bible is far more interested in explaining the Character of God as loving, kind, gracious but just (and our need to emulate that Character).  It makes almost no attempt to explain the substance and makeup of God but simply asserts God's existence: &quot;In the beginning God ...&quot; Gen 1:1.
The closest the Bible comes to explaining anything about God is &quot;God is Spirit&quot;; but in reality, that tells us very little.