Originally Posted by
BarracksSi
Basically, if you and another rider on a different bike are pedaling at the same cadence AND you are going the same speed, THEN you are using the same effective gearing (tire circumference included).
There is a lot of talk here about how to ride faster but it is off-topic from the original question. This quote hits the general idea.
If two cyclists really are running the same cadence, their relative speeds will depend solely on their gearing. Whether or not they are capable of running that speed, which is to say capable of running with that cadence in that gear, depends on all those other factors mentioned, the rider's power, the wind resistance, the tires, etc. So their top speeds or top sustainable speeds may be different. But below that their speeds for the same cadence depend only on the gear (which includes wheel size). Note, two riders may seem to be at the same cadence but not really be identical. So there is some wiggle room in the "was the same as" observation.