What is the Greatest Common Factor of 30381 and 30399?

Greatest common factor (GCF) of 30381 and 30399 is 3.

GCF(30381,30399) = 3

We will now calculate the prime factors of 30381 and 30399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30381 and 30399.

How to find the GCF of 30381 and 30399?

We will first find the prime factorization of 30381 and 30399. After we will calculate the factors of 30381 and 30399 and find the biggest common factor number .

Step-1: Prime Factorization of 30381

Prime factors of 30381 are 3, 13, 19, 41. Prime factorization of 30381 in exponential form is:

30381 = 3¹ × 13¹ × 19¹ × 41¹

Step-2: Prime Factorization of 30399

Prime factors of 30399 are 3, 10133. Prime factorization of 30399 in exponential form is:

30399 = 3¹ × 10133¹

Step-3: Factors of 30381

List of positive integer factors of 30381 that divides 30381 without a remainder.

1, 3, 13, 19, 39, 41, 57, 123, 247, 533, 741, 779, 1599, 2337, 10127

Step-4: Factors of 30399

List of positive integer factors of 30399 that divides 30381 without a remainder.

1, 3, 10133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30381 and 30399. The biggest common factor number is the GCF number.
So the greatest common factor 30381 and 30399 is 3.

Also check out the Least Common Multiple of 30381 and 30399