What is the Greatest Common Factor of 30381 and 30386?

Greatest common factor (GCF) of 30381 and 30386 is 1.

GCF(30381,30386) = 1

We will now calculate the prime factors of 30381 and 30386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30381 and 30386.

How to find the GCF of 30381 and 30386?

We will first find the prime factorization of 30381 and 30386. After we will calculate the factors of 30381 and 30386 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 30386

Prime factors of 30386 are 2, 15193. Prime factorization of 30386 in exponential form is:

30386 = 2¹ × 15193¹

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 30386

List of positive integer factors of 30386 that divides 30381 without a remainder.

1, 2, 15193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30381 and 30386. The biggest common factor number is the GCF number.
So the greatest common factor 30381 and 30386 is 1.

Also check out the Least Common Multiple of 30381 and 30386