What is the Greatest Common Factor of 39312 and 39322?

Greatest common factor (GCF) of 39312 and 39322 is 2.

GCF(39312,39322) = 2

We will now calculate the prime factors of 39312 and 39322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39312 and 39322.

How to find the GCF of 39312 and 39322?

We will first find the prime factorization of 39312 and 39322. After we will calculate the factors of 39312 and 39322 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 39322

Prime factors of 39322 are 2, 19661. Prime factorization of 39322 in exponential form is:

39322 = 2¹ × 19661¹

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 39322

List of positive integer factors of 39322 that divides 39312 without a remainder.

1, 2, 19661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39312 and 39322. The biggest common factor number is the GCF number.
So the greatest common factor 39312 and 39322 is 2.

Also check out the Least Common Multiple of 39312 and 39322