What is the Greatest Common Factor of 30336 and 30354?

Greatest common factor (GCF) of 30336 and 30354 is 6.

GCF(30336,30354) = 6

We will now calculate the prime factors of 30336 and 30354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30336 and 30354.

How to find the GCF of 30336 and 30354?

We will first find the prime factorization of 30336 and 30354. After we will calculate the factors of 30336 and 30354 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 30354

Prime factors of 30354 are 2, 3, 5059. Prime factorization of 30354 in exponential form is:

30354 = 2¹ × 3¹ × 5059¹

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 30354

List of positive integer factors of 30354 that divides 30336 without a remainder.

1, 2, 3, 6, 5059, 10118, 15177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30336 and 30354. The biggest common factor number is the GCF number.
So the greatest common factor 30336 and 30354 is 6.

Also check out the Least Common Multiple of 30336 and 30354