What is the Greatest Common Factor of 6071 and 6084?

Greatest common factor (GCF) of 6071 and 6084 is 13.

GCF(6071,6084) = 13

We will now calculate the prime factors of 6071 and 6084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6071 and 6084.

How to find the GCF of 6071 and 6084?

We will first find the prime factorization of 6071 and 6084. After we will calculate the factors of 6071 and 6084 and find the biggest common factor number .

Step-1: Prime Factorization of 6071

Prime factors of 6071 are 13, 467. Prime factorization of 6071 in exponential form is:

6071 = 13¹ × 467¹

Step-2: Prime Factorization of 6084

Prime factors of 6084 are 2, 3, 13. Prime factorization of 6084 in exponential form is:

6084 = 2² × 3² × 13²

Step-3: Factors of 6071

List of positive integer factors of 6071 that divides 6071 without a remainder.

1, 13, 467

Step-4: Factors of 6084

List of positive integer factors of 6084 that divides 6071 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 169, 234, 338, 468, 507, 676, 1014, 1521, 2028, 3042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6071 and 6084. The biggest common factor number is the GCF number.
So the greatest common factor 6071 and 6084 is 13.

Also check out the Least Common Multiple of 6071 and 6084