What is the Greatest Common Factor of 21105 and 21111?

Greatest common factor (GCF) of 21105 and 21111 is 3.

GCF(21105,21111) = 3

We will now calculate the prime factors of 21105 and 21111, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21105 and 21111.

How to find the GCF of 21105 and 21111?

We will first find the prime factorization of 21105 and 21111. After we will calculate the factors of 21105 and 21111 and find the biggest common factor number .

Step-1: Prime Factorization of 21105

Prime factors of 21105 are 3, 5, 7, 67. Prime factorization of 21105 in exponential form is:

21105 = 3² × 5¹ × 7¹ × 67¹

Step-2: 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-3: Factors of 21105

List of positive integer factors of 21105 that divides 21105 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 67, 105, 201, 315, 335, 469, 603, 1005, 1407, 2345, 3015, 4221, 7035

Step-4: Factors of 21111

List of positive integer factors of 21111 that divides 21105 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21105 and 21111. The biggest common factor number is the GCF number.
So the greatest common factor 21105 and 21111 is 3.

Also check out the Least Common Multiple of 21105 and 21111