What is the Greatest Common Factor of 80360 and 80371?

Greatest common factor (GCF) of 80360 and 80371 is 1.

GCF(80360,80371) = 1

We will now calculate the prime factors of 80360 and 80371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80360 and 80371.

How to find the GCF of 80360 and 80371?

We will first find the prime factorization of 80360 and 80371. After we will calculate the factors of 80360 and 80371 and find the biggest common factor number .

Step-1: Prime Factorization of 80360

Prime factors of 80360 are 2, 5, 7, 41. Prime factorization of 80360 in exponential form is:

80360 = 2³ × 5¹ × 7² × 41¹

Step-2: Prime Factorization of 80371

Prime factors of 80371 are 179, 449. Prime factorization of 80371 in exponential form is:

80371 = 179¹ × 449¹

Step-3: Factors of 80360

List of positive integer factors of 80360 that divides 80360 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 41, 49, 56, 70, 82, 98, 140, 164, 196, 205, 245, 280, 287, 328, 392, 410, 490, 574, 820, 980, 1148, 1435, 1640, 1960, 2009, 2296, 2870, 4018, 5740, 8036, 10045, 11480, 16072, 20090, 40180

Step-4: Factors of 80371

List of positive integer factors of 80371 that divides 80360 without a remainder.

1, 179, 449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80360 and 80371. The biggest common factor number is the GCF number.
So the greatest common factor 80360 and 80371 is 1.

Also check out the Least Common Multiple of 80360 and 80371