What is the Greatest Common Factor of 30330 and 30345?

Greatest common factor (GCF) of 30330 and 30345 is 15.

GCF(30330,30345) = 15

We will now calculate the prime factors of 30330 and 30345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30330 and 30345.

How to find the GCF of 30330 and 30345?

We will first find the prime factorization of 30330 and 30345. After we will calculate the factors of 30330 and 30345 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30345

Prime factors of 30345 are 3, 5, 7, 17. Prime factorization of 30345 in exponential form is:

30345 = 3¹ × 5¹ × 7¹ × 17²

Step-3: Factors of 30330

List of positive integer factors of 30330 that divides 30330 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

Step-4: Factors of 30345

List of positive integer factors of 30345 that divides 30330 without a remainder.

1, 3, 5, 7, 15, 17, 21, 35, 51, 85, 105, 119, 255, 289, 357, 595, 867, 1445, 1785, 2023, 4335, 6069, 10115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30330 and 30345. The biggest common factor number is the GCF number.
So the greatest common factor 30330 and 30345 is 15.

Also check out the Least Common Multiple of 30330 and 30345