What is the Greatest Common Factor of 23089 and 23108?

Greatest common factor (GCF) of 23089 and 23108 is 1.

GCF(23089,23108) = 1

We will now calculate the prime factors of 23089 and 23108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23089 and 23108.

How to find the GCF of 23089 and 23108?

We will first find the prime factorization of 23089 and 23108. After we will calculate the factors of 23089 and 23108 and find the biggest common factor number .

Step-1: Prime Factorization of 23089

Prime factors of 23089 are 11, 2099. Prime factorization of 23089 in exponential form is:

23089 = 11¹ × 2099¹

Step-2: Prime Factorization of 23108

Prime factors of 23108 are 2, 53, 109. Prime factorization of 23108 in exponential form is:

23108 = 2² × 53¹ × 109¹

Step-3: Factors of 23089

List of positive integer factors of 23089 that divides 23089 without a remainder.

1, 11, 2099

Step-4: Factors of 23108

List of positive integer factors of 23108 that divides 23089 without a remainder.

1, 2, 4, 53, 106, 109, 212, 218, 436, 5777, 11554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23089 and 23108. The biggest common factor number is the GCF number.
So the greatest common factor 23089 and 23108 is 1.

Also check out the Least Common Multiple of 23089 and 23108