What is the Greatest Common Factor of 6042 and 6051?

Greatest common factor (GCF) of 6042 and 6051 is 3.

GCF(6042,6051) = 3

We will now calculate the prime factors of 6042 and 6051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6042 and 6051.

How to find the GCF of 6042 and 6051?

We will first find the prime factorization of 6042 and 6051. After we will calculate the factors of 6042 and 6051 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 6051

Prime factors of 6051 are 3, 2017. Prime factorization of 6051 in exponential form is:

6051 = 3¹ × 2017¹

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 6051

List of positive integer factors of 6051 that divides 6042 without a remainder.

1, 3, 2017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6042 and 6051. The biggest common factor number is the GCF number.
So the greatest common factor 6042 and 6051 is 3.

Also check out the Least Common Multiple of 6042 and 6051