What is the Greatest Common Factor of 6109 and 6128?

Greatest common factor (GCF) of 6109 and 6128 is 1.

GCF(6109,6128) = 1

We will now calculate the prime factors of 6109 and 6128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6109 and 6128.

How to find the GCF of 6109 and 6128?

We will first find the prime factorization of 6109 and 6128. After we will calculate the factors of 6109 and 6128 and find the biggest common factor number .

Step-1: Prime Factorization of 6109

Prime factors of 6109 are 41, 149. Prime factorization of 6109 in exponential form is:

6109 = 41¹ × 149¹

Step-2: Prime Factorization of 6128

Prime factors of 6128 are 2, 383. Prime factorization of 6128 in exponential form is:

6128 = 2⁴ × 383¹

Step-3: Factors of 6109

List of positive integer factors of 6109 that divides 6109 without a remainder.

1, 41, 149

Step-4: Factors of 6128

List of positive integer factors of 6128 that divides 6109 without a remainder.

1, 2, 4, 8, 16, 383, 766, 1532, 3064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6109 and 6128. The biggest common factor number is the GCF number.
So the greatest common factor 6109 and 6128 is 1.

Also check out the Least Common Multiple of 6109 and 6128