What is the Greatest Common Factor of 39312 and 39328?

Greatest common factor (GCF) of 39312 and 39328 is 16.

GCF(39312,39328) = 16

We will now calculate the prime factors of 39312 and 39328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39312 and 39328.

How to find the GCF of 39312 and 39328?

We will first find the prime factorization of 39312 and 39328. After we will calculate the factors of 39312 and 39328 and find the biggest common factor number .

Step-1: Prime Factorization of 39312

Prime factors of 39312 are 2, 3, 7, 13. Prime factorization of 39312 in exponential form is:

39312 = 2⁴ × 3³ × 7¹ × 13¹

Step-2: Prime Factorization of 39328

Prime factors of 39328 are 2, 1229. Prime factorization of 39328 in exponential form is:

39328 = 2⁵ × 1229¹

Step-3: Factors of 39312

List of positive integer factors of 39312 that divides 39312 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 16, 18, 21, 24, 26, 27, 28, 36, 39, 42, 48, 52, 54, 56, 63, 72, 78, 84, 91, 104, 108, 112, 117, 126, 144, 156, 168, 182, 189, 208, 216, 234, 252, 273, 312, 336, 351, 364, 378, 432, 468, 504, 546, 624, 702, 728, 756, 819, 936, 1008, 1092, 1404, 1456, 1512, 1638, 1872, 2184, 2457, 2808, 3024, 3276, 4368, 4914, 5616, 6552, 9828, 13104, 19656

Step-4: Factors of 39328

List of positive integer factors of 39328 that divides 39312 without a remainder.

1, 2, 4, 8, 16, 32, 1229, 2458, 4916, 9832, 19664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39312 and 39328. The biggest common factor number is the GCF number.
So the greatest common factor 39312 and 39328 is 16.

Also check out the Least Common Multiple of 39312 and 39328