What is the Greatest Common Factor of 38337 and 38349?

Greatest common factor (GCF) of 38337 and 38349 is 3.

GCF(38337,38349) = 3

We will now calculate the prime factors of 38337 and 38349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38337 and 38349.

How to find the GCF of 38337 and 38349?

We will first find the prime factorization of 38337 and 38349. After we will calculate the factors of 38337 and 38349 and find the biggest common factor number .

Step-1: Prime Factorization of 38337

Prime factors of 38337 are 3, 13, 983. Prime factorization of 38337 in exponential form is:

38337 = 3¹ × 13¹ × 983¹

Step-2: Prime Factorization of 38349

Prime factors of 38349 are 3, 4261. Prime factorization of 38349 in exponential form is:

38349 = 3² × 4261¹

Step-3: Factors of 38337

List of positive integer factors of 38337 that divides 38337 without a remainder.

1, 3, 13, 39, 983, 2949, 12779

Step-4: Factors of 38349

List of positive integer factors of 38349 that divides 38337 without a remainder.

1, 3, 9, 4261, 12783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38337 and 38349. The biggest common factor number is the GCF number.
So the greatest common factor 38337 and 38349 is 3.

Also check out the Least Common Multiple of 38337 and 38349