Who has a bigger problem: Greece or the EU?

The Greek Finance Minister is insisting that "the talks broke down because the creditors refused to face up to the fact that Greece's debt is unpayable".

So who has the bigger problem: Greece, or the EU? At some point, the EU countries have obligations to their own citizens not to continue to throw good money after bad. However, they have a very real crisis that could happen on their doorstep if Greece descends into an economic meltdown, which seems to be in its initial stages.

It's like that old joke -- When If you owe the bank $100 that's your problem. If you owe the bank $100 million, that's the bank's problem.