What is the Greatest Common Factor of 18788 and 18799?

Greatest common factor (GCF) of 18788 and 18799 is 11.

GCF(18788,18799) = 11

We will now calculate the prime factors of 18788 and 18799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18788 and 18799.

How to find the GCF of 18788 and 18799?

We will first find the prime factorization of 18788 and 18799. After we will calculate the factors of 18788 and 18799 and find the biggest common factor number .

Step-1: Prime Factorization of 18788

Prime factors of 18788 are 2, 7, 11, 61. Prime factorization of 18788 in exponential form is:

18788 = 2² × 7¹ × 11¹ × 61¹

Step-2: Prime Factorization of 18799

Prime factors of 18799 are 11, 1709. Prime factorization of 18799 in exponential form is:

18799 = 11¹ × 1709¹

Step-3: Factors of 18788

List of positive integer factors of 18788 that divides 18788 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 61, 77, 122, 154, 244, 308, 427, 671, 854, 1342, 1708, 2684, 4697, 9394

Step-4: Factors of 18799

List of positive integer factors of 18799 that divides 18788 without a remainder.

1, 11, 1709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18788 and 18799. The biggest common factor number is the GCF number.
So the greatest common factor 18788 and 18799 is 11.

Also check out the Least Common Multiple of 18788 and 18799