What is the Greatest Common Factor of 78364 and 78384?

Greatest common factor (GCF) of 78364 and 78384 is 4.

GCF(78364,78384) = 4

We will now calculate the prime factors of 78364 and 78384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78364 and 78384.

How to find the GCF of 78364 and 78384?

We will first find the prime factorization of 78364 and 78384. After we will calculate the factors of 78364 and 78384 and find the biggest common factor number .

Step-1: Prime Factorization of 78364

Prime factors of 78364 are 2, 11, 13, 137. Prime factorization of 78364 in exponential form is:

78364 = 2² × 11¹ × 13¹ × 137¹

Step-2: 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-3: Factors of 78364

List of positive integer factors of 78364 that divides 78364 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 137, 143, 274, 286, 548, 572, 1507, 1781, 3014, 3562, 6028, 7124, 19591, 39182

Step-4: Factors of 78384

List of positive integer factors of 78384 that divides 78364 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78364 and 78384. The biggest common factor number is the GCF number.
So the greatest common factor 78364 and 78384 is 4.

Also check out the Least Common Multiple of 78364 and 78384