What is the Greatest Common Factor of 30330 and 30336?

Greatest common factor (GCF) of 30330 and 30336 is 6.

GCF(30330,30336) = 6

We will now calculate the prime factors of 30330 and 30336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30330 and 30336.

How to find the GCF of 30330 and 30336?

We will first find the prime factorization of 30330 and 30336. After we will calculate the factors of 30330 and 30336 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 30336

Prime factors of 30336 are 2, 3, 79. Prime factorization of 30336 in exponential form is:

30336 = 2⁷ × 3¹ × 79¹

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 30336

List of positive integer factors of 30336 that divides 30330 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 79, 96, 128, 158, 192, 237, 316, 384, 474, 632, 948, 1264, 1896, 2528, 3792, 5056, 7584, 10112, 15168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30330 and 30336. The biggest common factor number is the GCF number.
So the greatest common factor 30330 and 30336 is 6.

Also check out the Least Common Multiple of 30330 and 30336