Verified Answer :

\(12x=4x\cdot3\\\\44xy=4x\cdot11y\\\\GCF(12x;\ 44xy)=4x\)

AL2006

If we don't know what 'x' and 'y' are, the best we can say is that the GCF is 4x .
But 'x' and 'y' can easily take on values that would change the GCF.