What is the Greatest Common Factor of 22089 and 22101?

Greatest common factor (GCF) of 22089 and 22101 is 3.

GCF(22089,22101) = 3

We will now calculate the prime factors of 22089 and 22101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22089 and 22101.

How to find the GCF of 22089 and 22101?

We will first find the prime factorization of 22089 and 22101. After we will calculate the factors of 22089 and 22101 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 22101

Prime factors of 22101 are 3, 53, 139. Prime factorization of 22101 in exponential form is:

22101 = 3¹ × 53¹ × 139¹

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 22101

List of positive integer factors of 22101 that divides 22089 without a remainder.

1, 3, 53, 139, 159, 417, 7367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22089 and 22101. The biggest common factor number is the GCF number.
So the greatest common factor 22089 and 22101 is 3.

Also check out the Least Common Multiple of 22089 and 22101