What is the Greatest Common Factor of 38397 and 38409?

Greatest common factor (GCF) of 38397 and 38409 is 3.

GCF(38397,38409) = 3

We will now calculate the prime factors of 38397 and 38409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38397 and 38409.

How to find the GCF of 38397 and 38409?

We will first find the prime factorization of 38397 and 38409. After we will calculate the factors of 38397 and 38409 and find the biggest common factor number .

Step-1: Prime Factorization of 38397

Prime factors of 38397 are 3, 12799. Prime factorization of 38397 in exponential form is:

38397 = 3¹ × 12799¹

Step-2: Prime Factorization of 38409

Prime factors of 38409 are 3, 7, 31, 59. Prime factorization of 38409 in exponential form is:

38409 = 3¹ × 7¹ × 31¹ × 59¹

Step-3: Factors of 38397

List of positive integer factors of 38397 that divides 38397 without a remainder.

1, 3, 12799

Step-4: Factors of 38409

List of positive integer factors of 38409 that divides 38397 without a remainder.

1, 3, 7, 21, 31, 59, 93, 177, 217, 413, 651, 1239, 1829, 5487, 12803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38397 and 38409. The biggest common factor number is the GCF number.
So the greatest common factor 38397 and 38409 is 3.

Also check out the Least Common Multiple of 38397 and 38409