What is the Greatest Common Factor of 23108 and 23123?

Greatest common factor (GCF) of 23108 and 23123 is 1.

GCF(23108,23123) = 1

We will now calculate the prime factors of 23108 and 23123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23108 and 23123.

How to find the GCF of 23108 and 23123?

We will first find the prime factorization of 23108 and 23123. After we will calculate the factors of 23108 and 23123 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23123

Prime factors of 23123 are 19, 1217. Prime factorization of 23123 in exponential form is:

23123 = 19¹ × 1217¹

Step-3: Factors of 23108

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

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

Step-4: Factors of 23123

List of positive integer factors of 23123 that divides 23108 without a remainder.

1, 19, 1217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23108 and 23123. The biggest common factor number is the GCF number.
So the greatest common factor 23108 and 23123 is 1.

Also check out the Least Common Multiple of 23108 and 23123