What is the Greatest Common Factor of 3042 and 3057?

Greatest common factor (GCF) of 3042 and 3057 is 3.

GCF(3042,3057) = 3

We will now calculate the prime factors of 3042 and 3057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3042 and 3057.

How to find the GCF of 3042 and 3057?

We will first find the prime factorization of 3042 and 3057. After we will calculate the factors of 3042 and 3057 and find the biggest common factor number .

Step-1: Prime Factorization of 3042

Prime factors of 3042 are 2, 3, 13. Prime factorization of 3042 in exponential form is:

3042 = 2¹ × 3² × 13²

Step-2: Prime Factorization of 3057

Prime factors of 3057 are 3, 1019. Prime factorization of 3057 in exponential form is:

3057 = 3¹ × 1019¹

Step-3: Factors of 3042

List of positive integer factors of 3042 that divides 3042 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521

Step-4: Factors of 3057

List of positive integer factors of 3057 that divides 3042 without a remainder.

1, 3, 1019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3042 and 3057. The biggest common factor number is the GCF number.
So the greatest common factor 3042 and 3057 is 3.

Also check out the Least Common Multiple of 3042 and 3057