What is the Greatest Common Factor of 23089 and 23109?

Greatest common factor (GCF) of 23089 and 23109 is 1.

GCF(23089,23109) = 1

We will now calculate the prime factors of 23089 and 23109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23089 and 23109.

How to find the GCF of 23089 and 23109?

We will first find the prime factorization of 23089 and 23109. After we will calculate the factors of 23089 and 23109 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 23109

Prime factors of 23109 are 3, 7703. Prime factorization of 23109 in exponential form is:

23109 = 3¹ × 7703¹

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 23109

List of positive integer factors of 23109 that divides 23089 without a remainder.

1, 3, 7703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23089 and 23109. The biggest common factor number is the GCF number.
So the greatest common factor 23089 and 23109 is 1.

Also check out the Least Common Multiple of 23089 and 23109