What is the Greatest Common Factor of 22089 and 22105?

Greatest common factor (GCF) of 22089 and 22105 is 1.

GCF(22089,22105) = 1

We will now calculate the prime factors of 22089 and 22105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22089 and 22105.

How to find the GCF of 22089 and 22105?

We will first find the prime factorization of 22089 and 22105. After we will calculate the factors of 22089 and 22105 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 22105

Prime factors of 22105 are 5, 4421. Prime factorization of 22105 in exponential form is:

22105 = 5¹ × 4421¹

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 22105

List of positive integer factors of 22105 that divides 22089 without a remainder.

1, 5, 4421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22089 and 22105. The biggest common factor number is the GCF number.
So the greatest common factor 22089 and 22105 is 1.

Also check out the Least Common Multiple of 22089 and 22105