What is the Greatest Common Factor of 38313 and 38322?

Greatest common factor (GCF) of 38313 and 38322 is 9.

GCF(38313,38322) = 9

We will now calculate the prime factors of 38313 and 38322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38313 and 38322.

How to find the GCF of 38313 and 38322?

We will first find the prime factorization of 38313 and 38322. After we will calculate the factors of 38313 and 38322 and find the biggest common factor number .

Step-1: Prime Factorization of 38313

Prime factors of 38313 are 3, 11, 43. Prime factorization of 38313 in exponential form is:

38313 = 3⁴ × 11¹ × 43¹

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 38313

List of positive integer factors of 38313 that divides 38313 without a remainder.

1, 3, 9, 11, 27, 33, 43, 81, 99, 129, 297, 387, 473, 891, 1161, 1419, 3483, 4257, 12771

Step-4: Factors of 38322

List of positive integer factors of 38322 that divides 38313 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 38313 and 38322. The biggest common factor number is the GCF number.
So the greatest common factor 38313 and 38322 is 9.

Also check out the Least Common Multiple of 38313 and 38322