29er/700c rims question

as above, i am looking for a set of 700c wheels for my disc equipped cx bike.
am i correct in thinking that 29er wheels are the same size?
dropouts are spaced at 135mm so i know that mtb hubs are fine, but im not certain about the rims.
intended use will be road/cyclepath only, currently running conti gatorskins in a 32 width.
thanks in advance for any help.

Yes.

lol, simple as that.
thanks buddy, thats made my evening browse a bit easier.

same diameter but some 700c rims might be a bit narrow for wider rubber if you retro fit to a 29er mtb, but for CX they’ll be fine

28s are about as narrow as i am likely to go, im a fat knacker.
that should be ok?