Greatest Common Divisor (GCD) of 2 and 23

The Greatest Common Divisor (GCD) of 2 and 23 is the largest positive integer that divides both 2 and 23. Mathematically, the problem we are solving is:

GCD(2,23)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 2 and 23. 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 23:
1 and 23.

When we compare the lists of divisors above, we see that the largest number they have in common is 1. Thus, the Greatest Common Divisor (GCD) of 2 and 23 is:

GCD(2,23) = 1

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Greatest Common Divisor (GCD) of 2 and 24
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