Greatest Common Divisor (GCD) of 6 and 38

The Greatest Common Divisor (GCD) of 6 and 38 is the largest positive integer that divides both 6 and 38. Mathematically, the problem we are solving is:

GCD(6,38)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 6 and 38. 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 38:
1, 2, 19, and 38.

When we compare the lists of divisors above, we see that the largest number they have in common is 2. Thus, the Greatest Common Divisor (GCD) of 6 and 38 is:

GCD(6,38) = 2

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Greatest Common Divisor (GCD) of 6 and 39
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