What is the Greatest Common Factor of 82364 and 82368?

Greatest common factor (GCF) of 82364 and 82368 is 4.

GCF(82364,82368) = 4

We will now calculate the prime factors of 82364 and 82368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82364 and 82368.

How to find the GCF of 82364 and 82368?

We will first find the prime factorization of 82364 and 82368. After we will calculate the factors of 82364 and 82368 and find the biggest common factor number .

Step-1: Prime Factorization of 82364

Prime factors of 82364 are 2, 59, 349. Prime factorization of 82364 in exponential form is:

82364 = 2² × 59¹ × 349¹

Step-2: 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-3: Factors of 82364

List of positive integer factors of 82364 that divides 82364 without a remainder.

1, 2, 4, 59, 118, 236, 349, 698, 1396, 20591, 41182

Step-4: Factors of 82368

List of positive integer factors of 82368 that divides 82364 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82364 and 82368. The biggest common factor number is the GCF number.
So the greatest common factor 82364 and 82368 is 4.

Also check out the Least Common Multiple of 82364 and 82368