What is the Greatest Common Factor of 30381 and 30393?

Greatest common factor (GCF) of 30381 and 30393 is 3.

GCF(30381,30393) = 3

We will now calculate the prime factors of 30381 and 30393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30381 and 30393.

How to find the GCF of 30381 and 30393?

We will first find the prime factorization of 30381 and 30393. After we will calculate the factors of 30381 and 30393 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 30393

Prime factors of 30393 are 3, 11, 307. Prime factorization of 30393 in exponential form is:

30393 = 3² × 11¹ × 307¹

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 30393

List of positive integer factors of 30393 that divides 30381 without a remainder.

1, 3, 9, 11, 33, 99, 307, 921, 2763, 3377, 10131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30381 and 30393. The biggest common factor number is the GCF number.
So the greatest common factor 30381 and 30393 is 3.

Also check out the Least Common Multiple of 30381 and 30393