What is the term for when 2 numbers cannot be factors of one another? Lets say I have 2 numbers, A and B, In my scenario A cannot be multiplied by a integer constant (k) in order to make B. Is there a defined term or symbol for this to make it work?.

I assume this symbol does exist since vectors can be scalar products of one another, and it seems easier just to say something like B/A ≠ ℤ.
This situation is usually written as $A\nmid B$
You can write that:

$\frac BA\notin\Bbb Z$