What is the Greatest Common Factor of 38307 and 38322?

Greatest common factor (GCF) of 38307 and 38322 is 3.

GCF(38307,38322) = 3

We will now calculate the prime factors of 38307 and 38322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38307 and 38322.

How to find the GCF of 38307 and 38322?

We will first find the prime factorization of 38307 and 38322. After we will calculate the factors of 38307 and 38322 and find the biggest common factor number .

Step-1: Prime Factorization of 38307

Prime factors of 38307 are 3, 113. Prime factorization of 38307 in exponential form is:

38307 = 3¹ × 113²

Step-2: Prime Factorization of 38322

Prime factors of 38322 are 2, 3, 2129. Prime factorization of 38322 in exponential form is:

38322 = 2¹ × 3² × 2129¹

Step-3: Factors of 38307

List of positive integer factors of 38307 that divides 38307 without a remainder.

1, 3, 113, 339, 12769

Step-4: Factors of 38322

List of positive integer factors of 38322 that divides 38307 without a remainder.

1, 2, 3, 6, 9, 18, 2129, 4258, 6387, 12774, 19161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38307 and 38322. The biggest common factor number is the GCF number.
So the greatest common factor 38307 and 38322 is 3.

Also check out the Least Common Multiple of 38307 and 38322