What is the Greatest Common Factor of 38319 and 38327?

Greatest common factor (GCF) of 38319 and 38327 is 1.

GCF(38319,38327) = 1

We will now calculate the prime factors of 38319 and 38327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38319 and 38327.

How to find the GCF of 38319 and 38327?

We will first find the prime factorization of 38319 and 38327. After we will calculate the factors of 38319 and 38327 and find the biggest common factor number .

Step-1: Prime Factorization of 38319

Prime factors of 38319 are 3, 53, 241. Prime factorization of 38319 in exponential form is:

38319 = 3¹ × 53¹ × 241¹

Step-2: Prime Factorization of 38327

Prime factors of 38327 are 38327. Prime factorization of 38327 in exponential form is:

38327 = 38327¹

Step-3: Factors of 38319

List of positive integer factors of 38319 that divides 38319 without a remainder.

1, 3, 53, 159, 241, 723, 12773

Step-4: Factors of 38327

List of positive integer factors of 38327 that divides 38319 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38319 and 38327. The biggest common factor number is the GCF number.
So the greatest common factor 38319 and 38327 is 1.

Also check out the Least Common Multiple of 38319 and 38327