What is the Greatest Common Factor of 39307 and 39312?

Greatest common factor (GCF) of 39307 and 39312 is 1.

GCF(39307,39312) = 1

We will now calculate the prime factors of 39307 and 39312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39307 and 39312.

How to find the GCF of 39307 and 39312?

We will first find the prime factorization of 39307 and 39312. After we will calculate the factors of 39307 and 39312 and find the biggest common factor number .

Step-1: Prime Factorization of 39307

Prime factors of 39307 are 23, 1709. Prime factorization of 39307 in exponential form is:

39307 = 23¹ × 1709¹

Step-2: 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-3: Factors of 39307

List of positive integer factors of 39307 that divides 39307 without a remainder.

1, 23, 1709

Step-4: Factors of 39312

List of positive integer factors of 39312 that divides 39307 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39307 and 39312. The biggest common factor number is the GCF number.
So the greatest common factor 39307 and 39312 is 1.

Also check out the Least Common Multiple of 39307 and 39312