What is the Greatest Common Factor of 78384 and 78392?

Greatest common factor (GCF) of 78384 and 78392 is 8.

GCF(78384,78392) = 8

We will now calculate the prime factors of 78384 and 78392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78384 and 78392.

How to find the GCF of 78384 and 78392?

We will first find the prime factorization of 78384 and 78392. After we will calculate the factors of 78384 and 78392 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 78392

Prime factors of 78392 are 2, 41, 239. Prime factorization of 78392 in exponential form is:

78392 = 2³ × 41¹ × 239¹

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 78392

List of positive integer factors of 78392 that divides 78384 without a remainder.

1, 2, 4, 8, 41, 82, 164, 239, 328, 478, 956, 1912, 9799, 19598, 39196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78384 and 78392. The biggest common factor number is the GCF number.
So the greatest common factor 78384 and 78392 is 8.

Also check out the Least Common Multiple of 78384 and 78392