What is the Greatest Common Factor of 6058 and 6071?

Greatest common factor (GCF) of 6058 and 6071 is 13.

GCF(6058,6071) = 13

We will now calculate the prime factors of 6058 and 6071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6058 and 6071.

How to find the GCF of 6058 and 6071?

We will first find the prime factorization of 6058 and 6071. After we will calculate the factors of 6058 and 6071 and find the biggest common factor number .

Step-1: Prime Factorization of 6058

Prime factors of 6058 are 2, 13, 233. Prime factorization of 6058 in exponential form is:

6058 = 2¹ × 13¹ × 233¹

Step-2: Prime Factorization of 6071

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

6071 = 13¹ × 467¹

Step-3: Factors of 6058

List of positive integer factors of 6058 that divides 6058 without a remainder.

1, 2, 13, 26, 233, 466, 3029

Step-4: Factors of 6071

List of positive integer factors of 6071 that divides 6058 without a remainder.

1, 13, 467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6058 and 6071. The biggest common factor number is the GCF number.
So the greatest common factor 6058 and 6071 is 13.

Also check out the Least Common Multiple of 6058 and 6071