What is the Greatest Common Factor of 39312 and 39317?

Greatest common factor (GCF) of 39312 and 39317 is 1.

GCF(39312,39317) = 1

We will now calculate the prime factors of 39312 and 39317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39312 and 39317.

How to find the GCF of 39312 and 39317?

We will first find the prime factorization of 39312 and 39317. After we will calculate the factors of 39312 and 39317 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 39317

Prime factors of 39317 are 39317. Prime factorization of 39317 in exponential form is:

39317 = 39317¹

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 39317

List of positive integer factors of 39317 that divides 39312 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39312 and 39317. The biggest common factor number is the GCF number.
So the greatest common factor 39312 and 39317 is 1.

Also check out the Least Common Multiple of 39312 and 39317