What is the Greatest Common Factor of 38397 and 38403?

Greatest common factor (GCF) of 38397 and 38403 is 3.

GCF(38397,38403) = 3

We will now calculate the prime factors of 38397 and 38403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38397 and 38403.

How to find the GCF of 38397 and 38403?

We will first find the prime factorization of 38397 and 38403. After we will calculate the factors of 38397 and 38403 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 38403

Prime factors of 38403 are 3, 17, 251. Prime factorization of 38403 in exponential form is:

38403 = 3² × 17¹ × 251¹

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 38403

List of positive integer factors of 38403 that divides 38397 without a remainder.

1, 3, 9, 17, 51, 153, 251, 753, 2259, 4267, 12801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38397 and 38403. The biggest common factor number is the GCF number.
So the greatest common factor 38397 and 38403 is 3.

Also check out the Least Common Multiple of 38397 and 38403