What is the Greatest Common Factor of 23080 and 23099?

Greatest common factor (GCF) of 23080 and 23099 is 1.

GCF(23080,23099) = 1

We will now calculate the prime factors of 23080 and 23099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23080 and 23099.

How to find the GCF of 23080 and 23099?

We will first find the prime factorization of 23080 and 23099. After we will calculate the factors of 23080 and 23099 and find the biggest common factor number .

Step-1: Prime Factorization of 23080

Prime factors of 23080 are 2, 5, 577. Prime factorization of 23080 in exponential form is:

23080 = 2³ × 5¹ × 577¹

Step-2: Prime Factorization of 23099

Prime factors of 23099 are 23099. Prime factorization of 23099 in exponential form is:

23099 = 23099¹

Step-3: Factors of 23080

List of positive integer factors of 23080 that divides 23080 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 577, 1154, 2308, 2885, 4616, 5770, 11540

Step-4: Factors of 23099

List of positive integer factors of 23099 that divides 23080 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23080 and 23099. The biggest common factor number is the GCF number.
So the greatest common factor 23080 and 23099 is 1.

Also check out the Least Common Multiple of 23080 and 23099