What is the Greatest Common Factor of 6042 and 6046?

Greatest common factor (GCF) of 6042 and 6046 is 2.

GCF(6042,6046) = 2

We will now calculate the prime factors of 6042 and 6046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6042 and 6046.

How to find the GCF of 6042 and 6046?

We will first find the prime factorization of 6042 and 6046. After we will calculate the factors of 6042 and 6046 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 6046

Prime factors of 6046 are 2, 3023. Prime factorization of 6046 in exponential form is:

6046 = 2¹ × 3023¹

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 6046

List of positive integer factors of 6046 that divides 6042 without a remainder.

1, 2, 3023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6042 and 6046. The biggest common factor number is the GCF number.
So the greatest common factor 6042 and 6046 is 2.

Also check out the Least Common Multiple of 6042 and 6046