What is the Greatest Common Factor of 18876 and 18887?

Greatest common factor (GCF) of 18876 and 18887 is 11.

GCF(18876,18887) = 11

We will now calculate the prime factors of 18876 and 18887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18876 and 18887.

How to find the GCF of 18876 and 18887?

We will first find the prime factorization of 18876 and 18887. After we will calculate the factors of 18876 and 18887 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 18887

Prime factors of 18887 are 11, 17, 101. Prime factorization of 18887 in exponential form is:

18887 = 11¹ × 17¹ × 101¹

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 18887

List of positive integer factors of 18887 that divides 18876 without a remainder.

1, 11, 17, 101, 187, 1111, 1717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18876 and 18887. The biggest common factor number is the GCF number.
So the greatest common factor 18876 and 18887 is 11.

Also check out the Least Common Multiple of 18876 and 18887