What is the Greatest Common Factor of 30326 and 30330?

Greatest common factor (GCF) of 30326 and 30330 is 2.

GCF(30326,30330) = 2

We will now calculate the prime factors of 30326 and 30330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30326 and 30330.

How to find the GCF of 30326 and 30330?

We will first find the prime factorization of 30326 and 30330. After we will calculate the factors of 30326 and 30330 and find the biggest common factor number .

Step-1: Prime Factorization of 30326

Prime factors of 30326 are 2, 59, 257. Prime factorization of 30326 in exponential form is:

30326 = 2¹ × 59¹ × 257¹

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 30326

List of positive integer factors of 30326 that divides 30326 without a remainder.

1, 2, 59, 118, 257, 514, 15163

Step-4: Factors of 30330

List of positive integer factors of 30330 that divides 30326 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 30326 and 30330. The biggest common factor number is the GCF number.
So the greatest common factor 30326 and 30330 is 2.

Also check out the Least Common Multiple of 30326 and 30330