What is the Greatest Common Factor of 30384 and 30389?

Greatest common factor (GCF) of 30384 and 30389 is 1.

GCF(30384,30389) = 1

We will now calculate the prime factors of 30384 and 30389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30384 and 30389.

How to find the GCF of 30384 and 30389?

We will first find the prime factorization of 30384 and 30389. After we will calculate the factors of 30384 and 30389 and find the biggest common factor number .

Step-1: Prime Factorization of 30384

Prime factors of 30384 are 2, 3, 211. Prime factorization of 30384 in exponential form is:

30384 = 2⁴ × 3² × 211¹

Step-2: Prime Factorization of 30389

Prime factors of 30389 are 30389. Prime factorization of 30389 in exponential form is:

30389 = 30389¹

Step-3: Factors of 30384

List of positive integer factors of 30384 that divides 30384 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 211, 422, 633, 844, 1266, 1688, 1899, 2532, 3376, 3798, 5064, 7596, 10128, 15192

Step-4: Factors of 30389

List of positive integer factors of 30389 that divides 30384 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30384 and 30389. The biggest common factor number is the GCF number.
So the greatest common factor 30384 and 30389 is 1.

Also check out the Least Common Multiple of 30384 and 30389