Step 1 :Define the problem: Find the greatest common divisor of 66 and 30.
Step 2 :The greatest common divisor (GCD) of two or more integers is the largest positive integer that divides the numbers without a remainder. For example, the GCD of 8 and 12 is 4.
Step 3 :Let's find the GCD of 66 and 30.
Step 4 :By calculation, we find that the GCD of 66 and 30 is 6.
Step 5 :Final Answer: The greatest common divisor of 66 and 30 is \(\boxed{6}\).