Greatest Common Divisor (GCD) of 13 and 8

The Greatest Common Divisor (GCD) of 13 and 8 is the largest positive integer that divides both 13 and 8. Mathematically, the problem we are solving is:

GCD(13,8)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 13 and 8. We will then compare the lists of divisors to find the greatest divisor they have in common.

Divisors of 13:
1 and 13.

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

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 13 and 8 is:

GCD(13,8) = 1

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