What is the Greatest Common Factor of 21111 and 21126?

Greatest common factor (GCF) of 21111 and 21126 is 3.

GCF(21111,21126) = 3

We will now calculate the prime factors of 21111 and 21126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21111 and 21126.

How to find the GCF of 21111 and 21126?

We will first find the prime factorization of 21111 and 21126. After we will calculate the factors of 21111 and 21126 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 21126

Prime factors of 21126 are 2, 3, 7, 503. Prime factorization of 21126 in exponential form is:

21126 = 2¹ × 3¹ × 7¹ × 503¹

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 21126

List of positive integer factors of 21126 that divides 21111 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 503, 1006, 1509, 3018, 3521, 7042, 10563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21111 and 21126. The biggest common factor number is the GCF number.
So the greatest common factor 21111 and 21126 is 3.

Also check out the Least Common Multiple of 21111 and 21126