What is the Greatest Common Factor of 82368 and 82381?

Greatest common factor (GCF) of 82368 and 82381 is 13.

GCF(82368,82381) = 13

We will now calculate the prime factors of 82368 and 82381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82368 and 82381.

How to find the GCF of 82368 and 82381?

We will first find the prime factorization of 82368 and 82381. After we will calculate the factors of 82368 and 82381 and find the biggest common factor number .

Step-1: Prime Factorization of 82368

Prime factors of 82368 are 2, 3, 11, 13. Prime factorization of 82368 in exponential form is:

82368 = 2⁶ × 3² × 11¹ × 13¹

Step-2: Prime Factorization of 82381

Prime factors of 82381 are 13, 6337. Prime factorization of 82381 in exponential form is:

82381 = 13¹ × 6337¹

Step-3: Factors of 82368

List of positive integer factors of 82368 that divides 82368 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 13, 16, 18, 22, 24, 26, 32, 33, 36, 39, 44, 48, 52, 64, 66, 72, 78, 88, 96, 99, 104, 117, 132, 143, 144, 156, 176, 192, 198, 208, 234, 264, 286, 288, 312, 352, 396, 416, 429, 468, 528, 572, 576, 624, 704, 792, 832, 858, 936, 1056, 1144, 1248, 1287, 1584, 1716, 1872, 2112, 2288, 2496, 2574, 3168, 3432, 3744, 4576, 5148, 6336, 6864, 7488, 9152, 10296, 13728, 20592, 27456, 41184

Step-4: Factors of 82381

List of positive integer factors of 82381 that divides 82368 without a remainder.

1, 13, 6337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82368 and 82381. The biggest common factor number is the GCF number.
So the greatest common factor 82368 and 82381 is 13.

Also check out the Least Common Multiple of 82368 and 82381