Greatest Common Divisor (GCD) of 2 and 16

The Greatest Common Divisor (GCD) of 2 and 16 is the largest positive integer that divides both 2 and 16. Mathematically, the problem we are solving is:

GCD(2,16)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 2 and 16. We will then compare the lists of divisors to find the greatest divisor they have in common.

Divisors of 2:
1 and 2.

Divisors of 16:
1, 2, 4, 8, and 16.

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 2 and 16 is:

GCD(2,16) = 2

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Greatest Common Divisor (GCD) of 2 and 17
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