What is the Greatest Common Factor of 38388 and 38397?

Greatest common factor (GCF) of 38388 and 38397 is 3.

GCF(38388,38397) = 3

We will now calculate the prime factors of 38388 and 38397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38388 and 38397.

How to find the GCF of 38388 and 38397?

We will first find the prime factorization of 38388 and 38397. After we will calculate the factors of 38388 and 38397 and find the biggest common factor number .

Step-1: Prime Factorization of 38388

Prime factors of 38388 are 2, 3, 7, 457. Prime factorization of 38388 in exponential form is:

38388 = 2² × 3¹ × 7¹ × 457¹

Step-2: Prime Factorization of 38397

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

38397 = 3¹ × 12799¹

Step-3: Factors of 38388

List of positive integer factors of 38388 that divides 38388 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 457, 914, 1371, 1828, 2742, 3199, 5484, 6398, 9597, 12796, 19194

Step-4: Factors of 38397

List of positive integer factors of 38397 that divides 38388 without a remainder.

1, 3, 12799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38388 and 38397. The biggest common factor number is the GCF number.
So the greatest common factor 38388 and 38397 is 3.

Also check out the Least Common Multiple of 38388 and 38397