The Greatest Common Divisor (GCD) of 6 and 30 is the largest positive integer that divides both 6 and 30. Mathematically, the problem we are solving is:

GCD(6,30)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 6 and 30. We will then compare the lists of divisors to find the greatest divisor they have in common.

Divisors of 6:

1, 2, 3, and 6.

Divisors of 30:

1, 2, 3, 5, 6, 10, 15, and 30.

When we compare the lists of divisors above, we see that the largest number they have in common is 6. Thus, the Greatest Common Divisor (GCD) of 6 and 30 is:

**GCD(6,30) = 6**

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**Greatest Common Divisor (GCD) of 6 and 31**

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