Greatest Common Divisor (GCD) of 72 and 16

The Greatest Common Divisor (GCD) of 72 and 16 is the largest positive integer that divides both 72 and 16. Mathematically, the problem we are solving is:

GCD(72,16)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 72 and 16. We will then compare the lists of divisors to find the greatest divisor they have in common.

Divisors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.

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 8. Thus, the Greatest Common Divisor (GCD) of 72 and 16 is:

GCD(72,16) = 8

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Greatest Common Divisor (GCD) of 72 and 17
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