What is the Greatest Common Factor of 6072 and 6082?

Greatest common factor (GCF) of 6072 and 6082 is 2.

GCF(6072,6082) = 2

We will now calculate the prime factors of 6072 and 6082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6072 and 6082.

How to find the GCF of 6072 and 6082?

We will first find the prime factorization of 6072 and 6082. After we will calculate the factors of 6072 and 6082 and find the biggest common factor number .

Step-1: Prime Factorization of 6072

Prime factors of 6072 are 2, 3, 11, 23. Prime factorization of 6072 in exponential form is:

6072 = 2³ × 3¹ × 11¹ × 23¹

Step-2: Prime Factorization of 6082

Prime factors of 6082 are 2, 3041. Prime factorization of 6082 in exponential form is:

6082 = 2¹ × 3041¹

Step-3: Factors of 6072

List of positive integer factors of 6072 that divides 6072 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 23, 24, 33, 44, 46, 66, 69, 88, 92, 132, 138, 184, 253, 264, 276, 506, 552, 759, 1012, 1518, 2024, 3036

Step-4: Factors of 6082

List of positive integer factors of 6082 that divides 6072 without a remainder.

1, 2, 3041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6072 and 6082. The biggest common factor number is the GCF number.
So the greatest common factor 6072 and 6082 is 2.

Also check out the Least Common Multiple of 6072 and 6082