What is the Greatest Common Factor of 23129 and 23134?

Greatest common factor (GCF) of 23129 and 23134 is 1.

GCF(23129,23134) = 1

We will now calculate the prime factors of 23129 and 23134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23129 and 23134.

How to find the GCF of 23129 and 23134?

We will first find the prime factorization of 23129 and 23134. After we will calculate the factors of 23129 and 23134 and find the biggest common factor number .

Step-1: Prime Factorization of 23129

Prime factors of 23129 are 101, 229. Prime factorization of 23129 in exponential form is:

23129 = 101¹ × 229¹

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 23129

List of positive integer factors of 23129 that divides 23129 without a remainder.

1, 101, 229

Step-4: Factors of 23134

List of positive integer factors of 23134 that divides 23129 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23129 and 23134. The biggest common factor number is the GCF number.
So the greatest common factor 23129 and 23134 is 1.

Also check out the Least Common Multiple of 23129 and 23134