If you're a runner you probably have stronger lungs than legs, so it's simple:
In terms of aerobic load, zone 2 is zone 2. Your cardio system doesn't know the difference.
In terms of mechanical pounding, running is harder since it's a high-impact activity and cycling is not.
In terms of leg power required, cycling is harder if you're used to running. I personally struggle to get my heart rate out of zone 1 on the bike without trashing my legs. And as someone pointed out earlier, if you're too tired from cross training to do a workout the next day, that kinda defeats the purpose.
I like to do my biking immediately after runs, so my heart rate is already elevated and my legs don't need to work as hard to keep it up.