What is the Greatest Common Factor of 3038 and 3042?

Greatest common factor (GCF) of 3038 and 3042 is 2.

GCF(3038,3042) = 2

We will now calculate the prime factors of 3038 and 3042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3038 and 3042.

How to find the GCF of 3038 and 3042?

We will first find the prime factorization of 3038 and 3042. After we will calculate the factors of 3038 and 3042 and find the biggest common factor number .

Step-1: Prime Factorization of 3038

Prime factors of 3038 are 2, 7, 31. Prime factorization of 3038 in exponential form is:

3038 = 2¹ × 7² × 31¹

Step-2: 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-3: Factors of 3038

List of positive integer factors of 3038 that divides 3038 without a remainder.

1, 2, 7, 14, 31, 49, 62, 98, 217, 434, 1519

Step-4: Factors of 3042

List of positive integer factors of 3042 that divides 3038 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3038 and 3042. The biggest common factor number is the GCF number.
So the greatest common factor 3038 and 3042 is 2.

Also check out the Least Common Multiple of 3038 and 3042