What is the Greatest Common Factor of 30330 and 30338?

Greatest common factor (GCF) of 30330 and 30338 is 2.

GCF(30330,30338) = 2

We will now calculate the prime factors of 30330 and 30338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30330 and 30338.

How to find the GCF of 30330 and 30338?

We will first find the prime factorization of 30330 and 30338. After we will calculate the factors of 30330 and 30338 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 30338

Prime factors of 30338 are 2, 7, 11, 197. Prime factorization of 30338 in exponential form is:

30338 = 2¹ × 7¹ × 11¹ × 197¹

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 30338

List of positive integer factors of 30338 that divides 30330 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 197, 394, 1379, 2167, 2758, 4334, 15169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30330 and 30338. The biggest common factor number is the GCF number.
So the greatest common factor 30330 and 30338 is 2.

Also check out the Least Common Multiple of 30330 and 30338