I may be wrong (although Wikipedia agrees with my version of the equation), but it makes kinetic sense.
There is lots of O2 and some O3 in the high atmosphere. A small number of these are zapped by u.v. forming some O.
CFCs are zapped by u.v. forming a few Cl.
What is Cl. going to bump into? Most likely O2 or O3, forming a ClO. But what will that bump into? Most likely O2 or O3, how often will it bump into an O.?