What is the Greatest Common Factor of 6076 and 6096?

Greatest common factor (GCF) of 6076 and 6096 is 4.

GCF(6076,6096) = 4

We will now calculate the prime factors of 6076 and 6096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6076 and 6096.

How to find the GCF of 6076 and 6096?

We will first find the prime factorization of 6076 and 6096. After we will calculate the factors of 6076 and 6096 and find the biggest common factor number .

Step-1: Prime Factorization of 6076

Prime factors of 6076 are 2, 7, 31. Prime factorization of 6076 in exponential form is:

6076 = 2² × 7² × 31¹

Step-2: 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-3: Factors of 6076

List of positive integer factors of 6076 that divides 6076 without a remainder.

1, 2, 4, 7, 14, 28, 31, 49, 62, 98, 124, 196, 217, 434, 868, 1519, 3038

Step-4: Factors of 6096

List of positive integer factors of 6096 that divides 6076 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6076 and 6096. The biggest common factor number is the GCF number.
So the greatest common factor 6076 and 6096 is 4.

Also check out the Least Common Multiple of 6076 and 6096