Light gathering of small, fast scopes vs. large, slow scopes

[gustavo_sanchez]

Hi,

Can you help me figure this out?

If I have a 80mm f/6 scope and a 120 f/8.3 scope, for a given exposure time (for example, 1 minute), which will take the brightest picture?

The question arises because faster scopes gather more light for a given time lapse than slower scopes, but in this case the faster scope is also smaller...

Thanks!