What is the Greatest Common Factor of 78384 and 78403?

Greatest common factor (GCF) of 78384 and 78403 is 1.

GCF(78384,78403) = 1

We will now calculate the prime factors of 78384 and 78403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78384 and 78403.

How to find the GCF of 78384 and 78403?

We will first find the prime factorization of 78384 and 78403. After we will calculate the factors of 78384 and 78403 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 78403

Prime factors of 78403 are 13, 37, 163. Prime factorization of 78403 in exponential form is:

78403 = 13¹ × 37¹ × 163¹

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 78403

List of positive integer factors of 78403 that divides 78384 without a remainder.

1, 13, 37, 163, 481, 2119, 6031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78384 and 78403. The biggest common factor number is the GCF number.
So the greatest common factor 78384 and 78403 is 1.

Also check out the Least Common Multiple of 78384 and 78403