Vastly.
It's in the same column of the periodic table as silver and gold, and while less rare than the other two, still isn't exactly common. Bronze, like a bronze medal, is just copper with a little bit of something added for strength. On the other hand, iron is one of the typical things rocks are made of. (Edit: Oh look somebody already linked Wikipedia)
I'm surprised you haven't heard of copper theft. Cutting wires out of things is kind of an infamous way to pay for your next fix of drugs. The power lines near me all have signs warning that they're just copper-coated.