What is the Greatest Common Factor of 6096 and 6112?

Greatest common factor (GCF) of 6096 and 6112 is 16.

GCF(6096,6112) = 16

We will now calculate the prime factors of 6096 and 6112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6096 and 6112.

How to find the GCF of 6096 and 6112?

We will first find the prime factorization of 6096 and 6112. After we will calculate the factors of 6096 and 6112 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 6112

Prime factors of 6112 are 2, 191. Prime factorization of 6112 in exponential form is:

6112 = 2⁵ × 191¹

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 6112

List of positive integer factors of 6112 that divides 6096 without a remainder.

1, 2, 4, 8, 16, 32, 191, 382, 764, 1528, 3056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6096 and 6112. The biggest common factor number is the GCF number.
So the greatest common factor 6096 and 6112 is 16.

Also check out the Least Common Multiple of 6096 and 6112