What is the Greatest Common Factor of 22121 and 22140?

Greatest common factor (GCF) of 22121 and 22140 is 1.

GCF(22121,22140) = 1

We will now calculate the prime factors of 22121 and 22140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22121 and 22140.

How to find the GCF of 22121 and 22140?

We will first find the prime factorization of 22121 and 22140. After we will calculate the factors of 22121 and 22140 and find the biggest common factor number .

Step-1: Prime Factorization of 22121

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

22121 = 11¹ × 2011¹

Step-2: Prime Factorization of 22140

Prime factors of 22140 are 2, 3, 5, 41. Prime factorization of 22140 in exponential form is:

22140 = 2² × 3³ × 5¹ × 41¹

Step-3: Factors of 22121

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

1, 11, 2011

Step-4: Factors of 22140

List of positive integer factors of 22140 that divides 22121 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 41, 45, 54, 60, 82, 90, 108, 123, 135, 164, 180, 205, 246, 270, 369, 410, 492, 540, 615, 738, 820, 1107, 1230, 1476, 1845, 2214, 2460, 3690, 4428, 5535, 7380, 11070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22121 and 22140. The biggest common factor number is the GCF number.
So the greatest common factor 22121 and 22140 is 1.

Also check out the Least Common Multiple of 22121 and 22140