What is the Greatest Common Factor of 38019 and 38029?

Greatest common factor (GCF) of 38019 and 38029 is 1.

GCF(38019,38029) = 1

We will now calculate the prime factors of 38019 and 38029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38019 and 38029.

How to find the GCF of 38019 and 38029?

We will first find the prime factorization of 38019 and 38029. After we will calculate the factors of 38019 and 38029 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 38029

Prime factors of 38029 are 17, 2237. Prime factorization of 38029 in exponential form is:

38029 = 17¹ × 2237¹

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 38029

List of positive integer factors of 38029 that divides 38019 without a remainder.

1, 17, 2237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38019 and 38029. The biggest common factor number is the GCF number.
So the greatest common factor 38019 and 38029 is 1.

Also check out the Least Common Multiple of 38019 and 38029