It's very misleading to say that the Bible is the product of the church as Peter Kreeft and others have argued. Many on this thread have picked up on this argument as well. It's misleading because...
1. The Bible was written by chosen men who were inspired by the Holy Spirit. Men like Moses, Jeremiah, Paul, Matthew, and John. The Bible was written for the church, but the Bible was not produced by church councils meeting together and voting on proposed documents, amending documents, and debating what they ought to say. This is how the church produced things like the Nicene Creed, the Westminster Confession of Faith, or the rulings of the Council of Trent. But the Bible was not produced like this. God spoke to particular men who then wrote Scripture for the church. Many of these men even experienced great resistance from the church of their day (i.e. Moses and Jeremiah). If it were up to the church, these words would have certainly been amended!
2. The Church has no right to reject, add to, or amend Scripture. If the Bible is a product of the church, then the church would be able to add to it, amend it as needed, or take away from it. If the whole church were to get together and amend the Nicene Creed then this wouldn't, in theory, be a problem because the Nicene Creed is a product of the church. But even if the whole church were to get together and vote to amend some part of Scripture, it would have no right to do so. This is because the Bible is not a product of the church, but the word of God. As such, it cannot be amended.
3. The Church did not authorize the Bible, but recognized the Bible. The books we have in the canon are not God's word because the church authorized them. They do not receive their authority from the church. Rather, they have authority because they are from God! The church had no choice but to recognize them since they are God's word.
Of course, this is another place where Catholics and EOs really differ from Protestants. Catholics and EOs tend to believe that the church is more authoritative than God's word and that without the church, God's word would not have authority. They believe that they can add to God's word through publishing infallible rulings of councils which teach things outside of Scripture. And they say things like "the church wrote the Bible" or "the church produced the Bible."