What is the Greatest Common Factor of 78380 and 78384?

Greatest common factor (GCF) of 78380 and 78384 is 4.

GCF(78380,78384) = 4

We will now calculate the prime factors of 78380 and 78384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78380 and 78384.

How to find the GCF of 78380 and 78384?

We will first find the prime factorization of 78380 and 78384. After we will calculate the factors of 78380 and 78384 and find the biggest common factor number .

Step-1: Prime Factorization of 78380

Prime factors of 78380 are 2, 5, 3919. Prime factorization of 78380 in exponential form is:

78380 = 2² × 5¹ × 3919¹

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 78380

List of positive integer factors of 78380 that divides 78380 without a remainder.

1, 2, 4, 5, 10, 20, 3919, 7838, 15676, 19595, 39190

Step-4: Factors of 78384

List of positive integer factors of 78384 that divides 78380 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 78380 and 78384. The biggest common factor number is the GCF number.
So the greatest common factor 78380 and 78384 is 4.

Also check out the Least Common Multiple of 78380 and 78384