What is the Greatest Common Factor of 30396 and 30413?

Greatest common factor (GCF) of 30396 and 30413 is 17.

GCF(30396,30413) = 17

We will now calculate the prime factors of 30396 and 30413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30396 and 30413.

How to find the GCF of 30396 and 30413?

We will first find the prime factorization of 30396 and 30413. After we will calculate the factors of 30396 and 30413 and find the biggest common factor number .

Step-1: Prime Factorization of 30396

Prime factors of 30396 are 2, 3, 17, 149. Prime factorization of 30396 in exponential form is:

30396 = 2² × 3¹ × 17¹ × 149¹

Step-2: Prime Factorization of 30413

Prime factors of 30413 are 17, 1789. Prime factorization of 30413 in exponential form is:

30413 = 17¹ × 1789¹

Step-3: Factors of 30396

List of positive integer factors of 30396 that divides 30396 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 149, 204, 298, 447, 596, 894, 1788, 2533, 5066, 7599, 10132, 15198

Step-4: Factors of 30413

List of positive integer factors of 30413 that divides 30396 without a remainder.

1, 17, 1789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30396 and 30413. The biggest common factor number is the GCF number.
So the greatest common factor 30396 and 30413 is 17.

Also check out the Least Common Multiple of 30396 and 30413