What is the Greatest Common Factor of 22089 and 22104?

Greatest common factor (GCF) of 22089 and 22104 is 3.

GCF(22089,22104) = 3

We will now calculate the prime factors of 22089 and 22104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22089 and 22104.

How to find the GCF of 22089 and 22104?

We will first find the prime factorization of 22089 and 22104. After we will calculate the factors of 22089 and 22104 and find the biggest common factor number .

Step-1: Prime Factorization of 22089

Prime factors of 22089 are 3, 37, 199. Prime factorization of 22089 in exponential form is:

22089 = 3¹ × 37¹ × 199¹

Step-2: 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-3: Factors of 22089

List of positive integer factors of 22089 that divides 22089 without a remainder.

1, 3, 37, 111, 199, 597, 7363

Step-4: Factors of 22104

List of positive integer factors of 22104 that divides 22089 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22089 and 22104. The biggest common factor number is the GCF number.
So the greatest common factor 22089 and 22104 is 3.

Also check out the Least Common Multiple of 22089 and 22104