What is the Greatest Common Factor of 3019 and 3038?

Greatest common factor (GCF) of 3019 and 3038 is 1.

GCF(3019,3038) = 1

We will now calculate the prime factors of 3019 and 3038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3019 and 3038.

How to find the GCF of 3019 and 3038?

We will first find the prime factorization of 3019 and 3038. After we will calculate the factors of 3019 and 3038 and find the biggest common factor number .

Step-1: Prime Factorization of 3019

Prime factors of 3019 are 3019. Prime factorization of 3019 in exponential form is:

3019 = 3019¹

Step-2: 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-3: Factors of 3019

List of positive integer factors of 3019 that divides 3019 without a remainder.

Step-4: Factors of 3038

List of positive integer factors of 3038 that divides 3019 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3019 and 3038. The biggest common factor number is the GCF number.
So the greatest common factor 3019 and 3038 is 1.

Also check out the Least Common Multiple of 3019 and 3038