If I was denied entry into Britain, will I be denied entry into France?

France is in Shengen (visas for Shengen countries are valid for all of them - includes Austria, Belgium, Denmark, Finland, France, Germany, Iceland, Italy, Greece, Luxembourg, Netherlands, Norway, Portugal, Spain and Sweden.), Britain isn't - so even though they're both EU they have different visa/entry systems. Having trouble entering Britain doesn't mean you'll have trouble entering France - although often the requirements are the same