What is the Greatest Common Factor of 23089 and 23104?

Greatest common factor (GCF) of 23089 and 23104 is 1.

GCF(23089,23104) = 1

We will now calculate the prime factors of 23089 and 23104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23089 and 23104.

How to find the GCF of 23089 and 23104?

We will first find the prime factorization of 23089 and 23104. After we will calculate the factors of 23089 and 23104 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 23104

Prime factors of 23104 are 2, 19. Prime factorization of 23104 in exponential form is:

23104 = 2⁶ × 19²

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 23104

List of positive integer factors of 23104 that divides 23089 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 152, 304, 361, 608, 722, 1216, 1444, 2888, 5776, 11552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23089 and 23104. The biggest common factor number is the GCF number.
So the greatest common factor 23089 and 23104 is 1.

Also check out the Least Common Multiple of 23089 and 23104