What is the Greatest Common Factor of 22110 and 22121?

Greatest common factor (GCF) of 22110 and 22121 is 11.

GCF(22110,22121) = 11

We will now calculate the prime factors of 22110 and 22121, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22110 and 22121.

How to find the GCF of 22110 and 22121?

We will first find the prime factorization of 22110 and 22121. After we will calculate the factors of 22110 and 22121 and find the biggest common factor number .

Step-1: Prime Factorization of 22110

Prime factors of 22110 are 2, 3, 5, 11, 67. Prime factorization of 22110 in exponential form is:

22110 = 2¹ × 3¹ × 5¹ × 11¹ × 67¹

Step-2: Prime Factorization of 22121

Prime factors of 22121 are 11, 2011. Prime factorization of 22121 in exponential form is:

22121 = 11¹ × 2011¹

Step-3: Factors of 22110

List of positive integer factors of 22110 that divides 22110 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 67, 110, 134, 165, 201, 330, 335, 402, 670, 737, 1005, 1474, 2010, 2211, 3685, 4422, 7370, 11055

Step-4: Factors of 22121

List of positive integer factors of 22121 that divides 22110 without a remainder.

1, 11, 2011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22110 and 22121. The biggest common factor number is the GCF number.
So the greatest common factor 22110 and 22121 is 11.

Also check out the Least Common Multiple of 22110 and 22121