# A question about the name of a property of positive numbers

Suppose that $$m$$ and $$n$$ are positive integers such that every prime number which divides $$n$$ also divides $$m$$ (e.g. $$n=25$$ and $$m=10$$). How do you call such numbers? having the same "prime base" ? Thanks!

• m= 10 and n= 25 are NOT an example of "every prime number that divides m also divides n". The prime number "2" divides 10 but does not divide 25. – user247327 Mar 11 at 14:00
• I thinks it was ok...any way, thanks for the comment @user247327. – boaz Mar 11 at 14:02
• does every prime number that divides m also have to divide n? If not then m is just a multiple of n. – cand Mar 11 at 14:18
• no, i mean that $m$ satysfies the following condition : $p\mid n\to p\mid m$ – boaz Mar 11 at 14:26
• It seems cand has the right terminology – Mikael Jensen Mar 11 at 14:56