What is the Greatest Common Factor of 23123 and 23134?

Greatest common factor (GCF) of 23123 and 23134 is 1.

GCF(23123,23134) = 1

We will now calculate the prime factors of 23123 and 23134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23123 and 23134.

How to find the GCF of 23123 and 23134?

We will first find the prime factorization of 23123 and 23134. After we will calculate the factors of 23123 and 23134 and find the biggest common factor number .

Step-1: Prime Factorization of 23123

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

23123 = 19¹ × 1217¹

Step-2: Prime Factorization of 23134

Prime factors of 23134 are 2, 43, 269. Prime factorization of 23134 in exponential form is:

23134 = 2¹ × 43¹ × 269¹

Step-3: Factors of 23123

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

1, 19, 1217

Step-4: Factors of 23134

List of positive integer factors of 23134 that divides 23123 without a remainder.

1, 2, 43, 86, 269, 538, 11567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23123 and 23134. The biggest common factor number is the GCF number.
So the greatest common factor 23123 and 23134 is 1.

Also check out the Least Common Multiple of 23123 and 23134