What is the Greatest Common Factor of 80382 and 80396?

Greatest common factor (GCF) of 80382 and 80396 is 2.

GCF(80382,80396) = 2

We will now calculate the prime factors of 80382 and 80396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80382 and 80396.

How to find the GCF of 80382 and 80396?

We will first find the prime factorization of 80382 and 80396. After we will calculate the factors of 80382 and 80396 and find the biggest common factor number .

Step-1: Prime Factorization of 80382

Prime factors of 80382 are 2, 3, 13397. Prime factorization of 80382 in exponential form is:

80382 = 2¹ × 3¹ × 13397¹

Step-2: Prime Factorization of 80396

Prime factors of 80396 are 2, 101, 199. Prime factorization of 80396 in exponential form is:

80396 = 2² × 101¹ × 199¹

Step-3: Factors of 80382

List of positive integer factors of 80382 that divides 80382 without a remainder.

1, 2, 3, 6, 13397, 26794, 40191

Step-4: Factors of 80396

List of positive integer factors of 80396 that divides 80382 without a remainder.

1, 2, 4, 101, 199, 202, 398, 404, 796, 20099, 40198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80382 and 80396. The biggest common factor number is the GCF number.
So the greatest common factor 80382 and 80396 is 2.

Also check out the Least Common Multiple of 80382 and 80396