It is up to the university to determine whether any class from another school is transferrable. If you did not speak with the university you were considering going to about what classes may or may not transfer, the fault lies on you. The CC does not control that although a good CC will be able to what classes actually are transferrable to other schools a student is likely to attend. They aren't going to know what every university is going to accept or not.
One would surely think you would investigate this to some extent long before you took 61 classes (classes, not credit hours, correct because 61 classes is a LOT of classes.)