What is the Greatest Common Factor of 22104 and 22122?

Greatest common factor (GCF) of 22104 and 22122 is 18.

GCF(22104,22122) = 18

We will now calculate the prime factors of 22104 and 22122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22104 and 22122.

How to find the GCF of 22104 and 22122?

We will first find the prime factorization of 22104 and 22122. After we will calculate the factors of 22104 and 22122 and find the biggest common factor number .

Step-1: Prime Factorization of 22104

Prime factors of 22104 are 2, 3, 307. Prime factorization of 22104 in exponential form is:

22104 = 2³ × 3² × 307¹

Step-2: Prime Factorization of 22122

Prime factors of 22122 are 2, 3, 1229. Prime factorization of 22122 in exponential form is:

22122 = 2¹ × 3² × 1229¹

Step-3: Factors of 22104

List of positive integer factors of 22104 that divides 22104 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 307, 614, 921, 1228, 1842, 2456, 2763, 3684, 5526, 7368, 11052

Step-4: Factors of 22122

List of positive integer factors of 22122 that divides 22104 without a remainder.

1, 2, 3, 6, 9, 18, 1229, 2458, 3687, 7374, 11061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22104 and 22122. The biggest common factor number is the GCF number.
So the greatest common factor 22104 and 22122 is 18.

Also check out the Least Common Multiple of 22104 and 22122