What is the Greatest Common Factor of 80364 and 80382?

Greatest common factor (GCF) of 80364 and 80382 is 6.

GCF(80364,80382) = 6

We will now calculate the prime factors of 80364 and 80382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80364 and 80382.

How to find the GCF of 80364 and 80382?

We will first find the prime factorization of 80364 and 80382. After we will calculate the factors of 80364 and 80382 and find the biggest common factor number .

Step-1: Prime Factorization of 80364

Prime factors of 80364 are 2, 3, 37, 181. Prime factorization of 80364 in exponential form is:

80364 = 2² × 3¹ × 37¹ × 181¹

Step-2: 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-3: Factors of 80364

List of positive integer factors of 80364 that divides 80364 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 181, 222, 362, 444, 543, 724, 1086, 2172, 6697, 13394, 20091, 26788, 40182

Step-4: Factors of 80382

List of positive integer factors of 80382 that divides 80364 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80364 and 80382. The biggest common factor number is the GCF number.
So the greatest common factor 80364 and 80382 is 6.

Also check out the Least Common Multiple of 80364 and 80382