What is the Greatest Common Factor of 82368 and 82386?

Greatest common factor (GCF) of 82368 and 82386 is 18.

GCF(82368,82386) = 18

We will now calculate the prime factors of 82368 and 82386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82368 and 82386.

How to find the GCF of 82368 and 82386?

We will first find the prime factorization of 82368 and 82386. After we will calculate the factors of 82368 and 82386 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 82386

Prime factors of 82386 are 2, 3, 23, 199. Prime factorization of 82386 in exponential form is:

82386 = 2¹ × 3² × 23¹ × 199¹

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 82386

List of positive integer factors of 82386 that divides 82368 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 199, 207, 398, 414, 597, 1194, 1791, 3582, 4577, 9154, 13731, 27462, 41193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82368 and 82386. The biggest common factor number is the GCF number.
So the greatest common factor 82368 and 82386 is 18.

Also check out the Least Common Multiple of 82368 and 82386