What is the Greatest Common Factor of 38019 and 38028?

Greatest common factor (GCF) of 38019 and 38028 is 3.

GCF(38019,38028) = 3

We will now calculate the prime factors of 38019 and 38028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38019 and 38028.

How to find the GCF of 38019 and 38028?

We will first find the prime factorization of 38019 and 38028. After we will calculate the factors of 38019 and 38028 and find the biggest common factor number .

Step-1: Prime Factorization of 38019

Prime factors of 38019 are 3, 19, 23, 29. Prime factorization of 38019 in exponential form is:

38019 = 3¹ × 19¹ × 23¹ × 29¹

Step-2: Prime Factorization of 38028

Prime factors of 38028 are 2, 3, 3169. Prime factorization of 38028 in exponential form is:

38028 = 2² × 3¹ × 3169¹

Step-3: Factors of 38019

List of positive integer factors of 38019 that divides 38019 without a remainder.

1, 3, 19, 23, 29, 57, 69, 87, 437, 551, 667, 1311, 1653, 2001, 12673

Step-4: Factors of 38028

List of positive integer factors of 38028 that divides 38019 without a remainder.

1, 2, 3, 4, 6, 12, 3169, 6338, 9507, 12676, 19014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38019 and 38028. The biggest common factor number is the GCF number.
So the greatest common factor 38019 and 38028 is 3.

Also check out the Least Common Multiple of 38019 and 38028