What is the Greatest Common Factor of 80366 and 80379?

Greatest common factor (GCF) of 80366 and 80379 is 13.

GCF(80366,80379) = 13

We will now calculate the prime factors of 80366 and 80379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80366 and 80379.

How to find the GCF of 80366 and 80379?

We will first find the prime factorization of 80366 and 80379. After we will calculate the factors of 80366 and 80379 and find the biggest common factor number .

Step-1: Prime Factorization of 80366

Prime factors of 80366 are 2, 11, 13, 281. Prime factorization of 80366 in exponential form is:

80366 = 2¹ × 11¹ × 13¹ × 281¹

Step-2: Prime Factorization of 80379

Prime factors of 80379 are 3, 13, 229. Prime factorization of 80379 in exponential form is:

80379 = 3³ × 13¹ × 229¹

Step-3: Factors of 80366

List of positive integer factors of 80366 that divides 80366 without a remainder.

1, 2, 11, 13, 22, 26, 143, 281, 286, 562, 3091, 3653, 6182, 7306, 40183

Step-4: Factors of 80379

List of positive integer factors of 80379 that divides 80366 without a remainder.

1, 3, 9, 13, 27, 39, 117, 229, 351, 687, 2061, 2977, 6183, 8931, 26793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80366 and 80379. The biggest common factor number is the GCF number.
So the greatest common factor 80366 and 80379 is 13.

Also check out the Least Common Multiple of 80366 and 80379