What is the Greatest Common Factor of 30336 and 30356?

Greatest common factor (GCF) of 30336 and 30356 is 4.

GCF(30336,30356) = 4

We will now calculate the prime factors of 30336 and 30356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30336 and 30356.

How to find the GCF of 30336 and 30356?

We will first find the prime factorization of 30336 and 30356. After we will calculate the factors of 30336 and 30356 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30356

Prime factors of 30356 are 2, 7589. Prime factorization of 30356 in exponential form is:

30356 = 2² × 7589¹

Step-3: Factors of 30336

List of positive integer factors of 30336 that divides 30336 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

Step-4: Factors of 30356

List of positive integer factors of 30356 that divides 30336 without a remainder.

1, 2, 4, 7589, 15178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30336 and 30356. The biggest common factor number is the GCF number.
So the greatest common factor 30336 and 30356 is 4.

Also check out the Least Common Multiple of 30336 and 30356