What is the Greatest Common Factor of 82368 and 82384?

Greatest common factor (GCF) of 82368 and 82384 is 16.

GCF(82368,82384) = 16

We will now calculate the prime factors of 82368 and 82384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82368 and 82384.

How to find the GCF of 82368 and 82384?

We will first find the prime factorization of 82368 and 82384. After we will calculate the factors of 82368 and 82384 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 82384

Prime factors of 82384 are 2, 19, 271. Prime factorization of 82384 in exponential form is:

82384 = 2⁴ × 19¹ × 271¹

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 82384

List of positive integer factors of 82384 that divides 82368 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 271, 304, 542, 1084, 2168, 4336, 5149, 10298, 20596, 41192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82368 and 82384. The biggest common factor number is the GCF number.
So the greatest common factor 82368 and 82384 is 16.

Also check out the Least Common Multiple of 82368 and 82384