What is the Greatest Common Factor of 30321 and 30330?

Greatest common factor (GCF) of 30321 and 30330 is 9.

GCF(30321,30330) = 9

We will now calculate the prime factors of 30321 and 30330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30321 and 30330.

How to find the GCF of 30321 and 30330?

We will first find the prime factorization of 30321 and 30330. After we will calculate the factors of 30321 and 30330 and find the biggest common factor number .

Step-1: Prime Factorization of 30321

Prime factors of 30321 are 3, 1123. Prime factorization of 30321 in exponential form is:

30321 = 3³ × 1123¹

Step-2: Prime Factorization of 30330

Prime factors of 30330 are 2, 3, 5, 337. Prime factorization of 30330 in exponential form is:

30330 = 2¹ × 3² × 5¹ × 337¹

Step-3: Factors of 30321

List of positive integer factors of 30321 that divides 30321 without a remainder.

1, 3, 9, 27, 1123, 3369, 10107

Step-4: Factors of 30330

List of positive integer factors of 30330 that divides 30321 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 337, 674, 1011, 1685, 2022, 3033, 3370, 5055, 6066, 10110, 15165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30321 and 30330. The biggest common factor number is the GCF number.
So the greatest common factor 30321 and 30330 is 9.

Also check out the Least Common Multiple of 30321 and 30330