What is the Greatest Common Factor of 34123 and 34137?

Greatest common factor (GCF) of 34123 and 34137 is 1.

GCF(34123,34137) = 1

We will now calculate the prime factors of 34123 and 34137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34123 and 34137.

How to find the GCF of 34123 and 34137?

We will first find the prime factorization of 34123 and 34137. After we will calculate the factors of 34123 and 34137 and find the biggest common factor number .

Step-1: Prime Factorization of 34123

Prime factors of 34123 are 34123. Prime factorization of 34123 in exponential form is:

34123 = 34123¹

Step-2: Prime Factorization of 34137

Prime factors of 34137 are 3, 3793. Prime factorization of 34137 in exponential form is:

34137 = 3² × 3793¹

Step-3: Factors of 34123

List of positive integer factors of 34123 that divides 34123 without a remainder.

Step-4: Factors of 34137

List of positive integer factors of 34137 that divides 34123 without a remainder.

1, 3, 9, 3793, 11379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34123 and 34137. The biggest common factor number is the GCF number.
So the greatest common factor 34123 and 34137 is 1.

Also check out the Least Common Multiple of 34123 and 34137