I still do not understand why they would have to store the credit card instead of just storing an authorization and transaction number.
The type of data stolen — also known as “track data” —
allows crooks to create counterfeit cards by encoding the
information onto any card with a magnetic stripe.
So it's not just the credit card numbers, but it's the full magstripe that was read and transmitted as-is to some central location where it was lifted. Debit cards and PINs, too, presumably.