What is the Greatest Common Factor of 6072 and 6083?

Greatest common factor (GCF) of 6072 and 6083 is 11.

GCF(6072,6083) = 11

We will now calculate the prime factors of 6072 and 6083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6072 and 6083.

How to find the GCF of 6072 and 6083?

We will first find the prime factorization of 6072 and 6083. After we will calculate the factors of 6072 and 6083 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 6083

Prime factors of 6083 are 7, 11, 79. Prime factorization of 6083 in exponential form is:

6083 = 7¹ × 11¹ × 79¹

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 6083

List of positive integer factors of 6083 that divides 6072 without a remainder.

1, 7, 11, 77, 79, 553, 869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6072 and 6083. The biggest common factor number is the GCF number.
So the greatest common factor 6072 and 6083 is 11.

Also check out the Least Common Multiple of 6072 and 6083