What is the Greatest Common Factor of 30336 and 30345?

Greatest common factor (GCF) of 30336 and 30345 is 3.

GCF(30336,30345) = 3

We will now calculate the prime factors of 30336 and 30345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30336 and 30345.

How to find the GCF of 30336 and 30345?

We will first find the prime factorization of 30336 and 30345. After we will calculate the factors of 30336 and 30345 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 30345

Prime factors of 30345 are 3, 5, 7, 17. Prime factorization of 30345 in exponential form is:

30345 = 3¹ × 5¹ × 7¹ × 17²

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 30345

List of positive integer factors of 30345 that divides 30336 without a remainder.

1, 3, 5, 7, 15, 17, 21, 35, 51, 85, 105, 119, 255, 289, 357, 595, 867, 1445, 1785, 2023, 4335, 6069, 10115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30336 and 30345. The biggest common factor number is the GCF number.
So the greatest common factor 30336 and 30345 is 3.

Also check out the Least Common Multiple of 30336 and 30345