What is the Greatest Common Factor of 21111 and 21129?

Greatest common factor (GCF) of 21111 and 21129 is 3.

GCF(21111,21129) = 3

We will now calculate the prime factors of 21111 and 21129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21111 and 21129.

How to find the GCF of 21111 and 21129?

We will first find the prime factorization of 21111 and 21129. After we will calculate the factors of 21111 and 21129 and find the biggest common factor number .

Step-1: Prime Factorization of 21111

Prime factors of 21111 are 3, 31, 227. Prime factorization of 21111 in exponential form is:

21111 = 3¹ × 31¹ × 227¹

Step-2: Prime Factorization of 21129

Prime factors of 21129 are 3, 7043. Prime factorization of 21129 in exponential form is:

21129 = 3¹ × 7043¹

Step-3: Factors of 21111

List of positive integer factors of 21111 that divides 21111 without a remainder.

1, 3, 31, 93, 227, 681, 7037

Step-4: Factors of 21129

List of positive integer factors of 21129 that divides 21111 without a remainder.

1, 3, 7043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21111 and 21129. The biggest common factor number is the GCF number.
So the greatest common factor 21111 and 21129 is 3.

Also check out the Least Common Multiple of 21111 and 21129