What is the Greatest Common Factor of 18876 and 18889?

Greatest common factor (GCF) of 18876 and 18889 is 13.

GCF(18876,18889) = 13

We will now calculate the prime factors of 18876 and 18889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18876 and 18889.

How to find the GCF of 18876 and 18889?

We will first find the prime factorization of 18876 and 18889. After we will calculate the factors of 18876 and 18889 and find the biggest common factor number .

Step-1: Prime Factorization of 18876

Prime factors of 18876 are 2, 3, 11, 13. Prime factorization of 18876 in exponential form is:

18876 = 2² × 3¹ × 11² × 13¹

Step-2: Prime Factorization of 18889

Prime factors of 18889 are 13, 1453. Prime factorization of 18889 in exponential form is:

18889 = 13¹ × 1453¹

Step-3: Factors of 18876

List of positive integer factors of 18876 that divides 18876 without a remainder.

1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 33, 39, 44, 52, 66, 78, 121, 132, 143, 156, 242, 286, 363, 429, 484, 572, 726, 858, 1452, 1573, 1716, 3146, 4719, 6292, 9438

Step-4: Factors of 18889

List of positive integer factors of 18889 that divides 18876 without a remainder.

1, 13, 1453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18876 and 18889. The biggest common factor number is the GCF number.
So the greatest common factor 18876 and 18889 is 13.

Also check out the Least Common Multiple of 18876 and 18889