What is the Greatest Common Factor of 6096 and 6113?

Greatest common factor (GCF) of 6096 and 6113 is 1.

GCF(6096,6113) = 1

We will now calculate the prime factors of 6096 and 6113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6096 and 6113.

How to find the GCF of 6096 and 6113?

We will first find the prime factorization of 6096 and 6113. After we will calculate the factors of 6096 and 6113 and find the biggest common factor number .

Step-1: Prime Factorization of 6096

Prime factors of 6096 are 2, 3, 127. Prime factorization of 6096 in exponential form is:

6096 = 2⁴ × 3¹ × 127¹

Step-2: Prime Factorization of 6113

Prime factors of 6113 are 6113. Prime factorization of 6113 in exponential form is:

6113 = 6113¹

Step-3: Factors of 6096

List of positive integer factors of 6096 that divides 6096 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 127, 254, 381, 508, 762, 1016, 1524, 2032, 3048

Step-4: Factors of 6113

List of positive integer factors of 6113 that divides 6096 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6096 and 6113. The biggest common factor number is the GCF number.
So the greatest common factor 6096 and 6113 is 1.

Also check out the Least Common Multiple of 6096 and 6113