What is the Greatest Common Factor of 39312 and 39326?

Greatest common factor (GCF) of 39312 and 39326 is 14.

GCF(39312,39326) = 14

We will now calculate the prime factors of 39312 and 39326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39312 and 39326.

How to find the GCF of 39312 and 39326?

We will first find the prime factorization of 39312 and 39326. After we will calculate the factors of 39312 and 39326 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 39326

Prime factors of 39326 are 2, 7, 53. Prime factorization of 39326 in exponential form is:

39326 = 2¹ × 7¹ × 53²

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 39326

List of positive integer factors of 39326 that divides 39312 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742, 2809, 5618, 19663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39312 and 39326. The biggest common factor number is the GCF number.
So the greatest common factor 39312 and 39326 is 14.

Also check out the Least Common Multiple of 39312 and 39326