# NCAlgebra - Factoring common commutative coefficients

This is a rather simple question that I cannot quite figure out how to do. Basically, I have the result of some matrix multiplication in which my resultant matrix has a mixture of commutative and non-commutative symbols.

Is there a way to factor out the commutative symbols automatically? For example, one line in my matrix has non-commuting symbols e and g, and a constant $$\Omega_1$$ that commutes with everything.

I have used the following rules

SetCommutative[\[CapitalOmega]1, \[CapitalOmega]2, \[CapitalDelta]1, \[CapitalDelta]2]
SetNonCommutative[g, e, r]
DisplayRule = NonCommutativeMultiply[a__] :> Infix[NonCommutativeMultiply[a],"\InvisibleTimes]\[InvisibleTimes]"]


Which has allowed me to get NCAlgebra to output the following

$$\Omega_1$$ (e g) - $$\Omega_1$$ (g e)

and I would like it to factor to

$$\Omega_1$$ (e g - g e)

Is it possible to add another rule to get this sort of factorization I would like?

Ok, I found the function NCCollect from this question which can factor like so
NCCollect[a ** b ** c - a ** b ** d, {a, b}]

a ** b ** (c - d)