What is the Greatest Common Factor of 6072 and 6091?

Greatest common factor (GCF) of 6072 and 6091 is 1.

GCF(6072,6091) = 1

We will now calculate the prime factors of 6072 and 6091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6072 and 6091.

How to find the GCF of 6072 and 6091?

We will first find the prime factorization of 6072 and 6091. After we will calculate the factors of 6072 and 6091 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 6091

Prime factors of 6091 are 6091. Prime factorization of 6091 in exponential form is:

6091 = 6091¹

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 6091

List of positive integer factors of 6091 that divides 6072 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6072 and 6091. The biggest common factor number is the GCF number.
So the greatest common factor 6072 and 6091 is 1.

Also check out the Least Common Multiple of 6072 and 6091