What is the Greatest Common Factor of 18777 and 18788?

Greatest common factor (GCF) of 18777 and 18788 is 11.

GCF(18777,18788) = 11

We will now calculate the prime factors of 18777 and 18788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18777 and 18788.

How to find the GCF of 18777 and 18788?

We will first find the prime factorization of 18777 and 18788. After we will calculate the factors of 18777 and 18788 and find the biggest common factor number .

Step-1: Prime Factorization of 18777

Prime factors of 18777 are 3, 11, 569. Prime factorization of 18777 in exponential form is:

18777 = 3¹ × 11¹ × 569¹

Step-2: 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-3: Factors of 18777

List of positive integer factors of 18777 that divides 18777 without a remainder.

1, 3, 11, 33, 569, 1707, 6259

Step-4: Factors of 18788

List of positive integer factors of 18788 that divides 18777 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18777 and 18788. The biggest common factor number is the GCF number.
So the greatest common factor 18777 and 18788 is 11.

Also check out the Least Common Multiple of 18777 and 18788