What is the Greatest Common Factor of 78376 and 78384?

Greatest common factor (GCF) of 78376 and 78384 is 8.

GCF(78376,78384) = 8

We will now calculate the prime factors of 78376 and 78384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78376 and 78384.

How to find the GCF of 78376 and 78384?

We will first find the prime factorization of 78376 and 78384. After we will calculate the factors of 78376 and 78384 and find the biggest common factor number .

Step-1: Prime Factorization of 78376

Prime factors of 78376 are 2, 97, 101. Prime factorization of 78376 in exponential form is:

78376 = 2³ × 97¹ × 101¹

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 78376

List of positive integer factors of 78376 that divides 78376 without a remainder.

1, 2, 4, 8, 97, 101, 194, 202, 388, 404, 776, 808, 9797, 19594, 39188

Step-4: Factors of 78384

List of positive integer factors of 78384 that divides 78376 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 78376 and 78384. The biggest common factor number is the GCF number.
So the greatest common factor 78376 and 78384 is 8.

Also check out the Least Common Multiple of 78376 and 78384