What is the Greatest Common Factor of 38313 and 38333?

Greatest common factor (GCF) of 38313 and 38333 is 1.

GCF(38313,38333) = 1

We will now calculate the prime factors of 38313 and 38333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38313 and 38333.

How to find the GCF of 38313 and 38333?

We will first find the prime factorization of 38313 and 38333. After we will calculate the factors of 38313 and 38333 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 38333

Prime factors of 38333 are 38333. Prime factorization of 38333 in exponential form is:

38333 = 38333¹

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 38333

List of positive integer factors of 38333 that divides 38313 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38313 and 38333. The biggest common factor number is the GCF number.
So the greatest common factor 38313 and 38333 is 1.

Also check out the Least Common Multiple of 38313 and 38333