What is the Greatest Common Factor of 78384 and 78399?

Greatest common factor (GCF) of 78384 and 78399 is 3.

GCF(78384,78399) = 3

We will now calculate the prime factors of 78384 and 78399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78384 and 78399.

How to find the GCF of 78384 and 78399?

We will first find the prime factorization of 78384 and 78399. After we will calculate the factors of 78384 and 78399 and find the biggest common factor number .

Step-1: Prime Factorization of 78384

Prime factors of 78384 are 2, 3, 23, 71. Prime factorization of 78384 in exponential form is:

78384 = 2⁴ × 3¹ × 23¹ × 71¹

Step-2: Prime Factorization of 78399

Prime factors of 78399 are 3, 31, 281. Prime factorization of 78399 in exponential form is:

78399 = 3² × 31¹ × 281¹

Step-3: Factors of 78384

List of positive integer factors of 78384 that divides 78384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 71, 92, 138, 142, 184, 213, 276, 284, 368, 426, 552, 568, 852, 1104, 1136, 1633, 1704, 3266, 3408, 4899, 6532, 9798, 13064, 19596, 26128, 39192

Step-4: Factors of 78399

List of positive integer factors of 78399 that divides 78384 without a remainder.

1, 3, 9, 31, 93, 279, 281, 843, 2529, 8711, 26133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78384 and 78399. The biggest common factor number is the GCF number.
So the greatest common factor 78384 and 78399 is 3.

Also check out the Least Common Multiple of 78384 and 78399