What is the Greatest Common Factor of 30381 and 30390?

Greatest common factor (GCF) of 30381 and 30390 is 3.

GCF(30381,30390) = 3

We will now calculate the prime factors of 30381 and 30390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30381 and 30390.

How to find the GCF of 30381 and 30390?

We will first find the prime factorization of 30381 and 30390. After we will calculate the factors of 30381 and 30390 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 30390

Prime factors of 30390 are 2, 3, 5, 1013. Prime factorization of 30390 in exponential form is:

30390 = 2¹ × 3¹ × 5¹ × 1013¹

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 30390

List of positive integer factors of 30390 that divides 30381 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1013, 2026, 3039, 5065, 6078, 10130, 15195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30381 and 30390. The biggest common factor number is the GCF number.
So the greatest common factor 30381 and 30390 is 3.

Also check out the Least Common Multiple of 30381 and 30390