GCF (Greatest Common Factor) of two number is the largest number that divides both of them without leaving a remainder.
LCM (Least Common Factor) of two number is the smallest number that divides both of them without leaving a remainder.
In this problem we know that the GCF of x and 18 is 6 and LCM of x and 18 is 72. We can use this information to determine the value of x.
We can use the formula:
LCM: LCM(x,18)=X*18/ GCF: (x,18)=X*18/6
Now we can substitute in the values we know: GCF: (x,18)=6 and LCM: (x,18)=72
So we can get,
X=LCM(x,18)*GCF(x,18)/18
X=72*6/18
X=432/18
X=24
Therefore, the value of x is 24.