The other two had connections to"individuals associated with past activity by the Russian Internet Research Agency",as well as to Evgeny Prigozhin,a Russian businessman indicted in the United States for election interference.
The French defence ministry and military command did not immediately respond to requests for comment.
Asked about the Africa allegations,Prigozhin,who has denied the US charges,told Reuters in a message that he considered Facebook a CIA tool which took down pages to suit US interests.
Nathaniel Gleicher,Facebook's head of cyber security policy,said:"You can't fight fire with fire. We have these two efforts from different sides of these issues using the same tactics and techniques,and they end up looking sort of the same."
Central African Republic's President Faustin-Archange Touadera is a Russian ally,a relationship often seen as a threat to France's influence in the French-speaking country where Paris had deployed 2500 troops until 2016.
Facebook said the two disinformation campaigns largely focused on the CAR,but also targeted users in 13 other African countries including Algeria,Cameroon,Libya and Sudan.
Ben Nimmo,head of investigations at social media analytics firm Graphika,said both campaigns used fake accounts to pose as local people,sometimes sharing doctored photos.
The French effort started in mid-2019 and pushed pro-French messages before targeting"Russian fake news",when Facebook shut down a Russian disinformation operation last year.
A subsequent Russian operation attempted to promote Russian business and diplomatic interests,as well as Touadera's candidacy,Nimmo said. Later,the Russian accounts tried to unmask the French accounts that were trying to unmask them.