What is the Greatest Common Factor of 6042 and 6058?

Greatest common factor (GCF) of 6042 and 6058 is 2.

GCF(6042,6058) = 2

We will now calculate the prime factors of 6042 and 6058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6042 and 6058.

How to find the GCF of 6042 and 6058?

We will first find the prime factorization of 6042 and 6058. After we will calculate the factors of 6042 and 6058 and find the biggest common factor number .

Step-1: Prime Factorization of 6042

Prime factors of 6042 are 2, 3, 19, 53. Prime factorization of 6042 in exponential form is:

6042 = 2¹ × 3¹ × 19¹ × 53¹

Step-2: 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-3: Factors of 6042

List of positive integer factors of 6042 that divides 6042 without a remainder.

1, 2, 3, 6, 19, 38, 53, 57, 106, 114, 159, 318, 1007, 2014, 3021

Step-4: Factors of 6058

List of positive integer factors of 6058 that divides 6042 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6042 and 6058. The biggest common factor number is the GCF number.
So the greatest common factor 6042 and 6058 is 2.

Also check out the Least Common Multiple of 6042 and 6058