What is the Greatest Common Factor of 30378 and 30396?

Greatest common factor (GCF) of 30378 and 30396 is 6.

GCF(30378,30396) = 6

We will now calculate the prime factors of 30378 and 30396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30378 and 30396.

How to find the GCF of 30378 and 30396?

We will first find the prime factorization of 30378 and 30396. After we will calculate the factors of 30378 and 30396 and find the biggest common factor number .

Step-1: Prime Factorization of 30378

Prime factors of 30378 are 2, 3, 61, 83. Prime factorization of 30378 in exponential form is:

30378 = 2¹ × 3¹ × 61¹ × 83¹

Step-2: 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-3: Factors of 30378

List of positive integer factors of 30378 that divides 30378 without a remainder.

1, 2, 3, 6, 61, 83, 122, 166, 183, 249, 366, 498, 5063, 10126, 15189

Step-4: Factors of 30396

List of positive integer factors of 30396 that divides 30378 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30378 and 30396. The biggest common factor number is the GCF number.
So the greatest common factor 30378 and 30396 is 6.

Also check out the Least Common Multiple of 30378 and 30396