What is the Greatest Common Factor of 6123 and 6134?

Greatest common factor (GCF) of 6123 and 6134 is 1.

GCF(6123,6134) = 1

We will now calculate the prime factors of 6123 and 6134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6123 and 6134.

How to find the GCF of 6123 and 6134?

We will first find the prime factorization of 6123 and 6134. After we will calculate the factors of 6123 and 6134 and find the biggest common factor number .

Step-1: Prime Factorization of 6123

Prime factors of 6123 are 3, 13, 157. Prime factorization of 6123 in exponential form is:

6123 = 3¹ × 13¹ × 157¹

Step-2: Prime Factorization of 6134

Prime factors of 6134 are 2, 3067. Prime factorization of 6134 in exponential form is:

6134 = 2¹ × 3067¹

Step-3: Factors of 6123

List of positive integer factors of 6123 that divides 6123 without a remainder.

1, 3, 13, 39, 157, 471, 2041

Step-4: Factors of 6134

List of positive integer factors of 6134 that divides 6123 without a remainder.

1, 2, 3067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6123 and 6134. The biggest common factor number is the GCF number.
So the greatest common factor 6123 and 6134 is 1.

Also check out the Least Common Multiple of 6123 and 6134