What is the Greatest Common Factor of 30336 and 30349?

Greatest common factor (GCF) of 30336 and 30349 is 1.

GCF(30336,30349) = 1

We will now calculate the prime factors of 30336 and 30349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30336 and 30349.

How to find the GCF of 30336 and 30349?

We will first find the prime factorization of 30336 and 30349. After we will calculate the factors of 30336 and 30349 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 30349

Prime factors of 30349 are 11, 31, 89. Prime factorization of 30349 in exponential form is:

30349 = 11¹ × 31¹ × 89¹

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 30349

List of positive integer factors of 30349 that divides 30336 without a remainder.

1, 11, 31, 89, 341, 979, 2759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30336 and 30349. The biggest common factor number is the GCF number.
So the greatest common factor 30336 and 30349 is 1.

Also check out the Least Common Multiple of 30336 and 30349