What is the Greatest Common Factor of 80580 and 80591?

Greatest common factor (GCF) of 80580 and 80591 is 1.

GCF(80580,80591) = 1

We will now calculate the prime factors of 80580 and 80591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80580 and 80591.

How to find the GCF of 80580 and 80591?

We will first find the prime factorization of 80580 and 80591. After we will calculate the factors of 80580 and 80591 and find the biggest common factor number .

Step-1: Prime Factorization of 80580

Prime factors of 80580 are 2, 3, 5, 17, 79. Prime factorization of 80580 in exponential form is:

80580 = 2² × 3¹ × 5¹ × 17¹ × 79¹

Step-2: Prime Factorization of 80591

Prime factors of 80591 are 7, 29, 397. Prime factorization of 80591 in exponential form is:

80591 = 7¹ × 29¹ × 397¹

Step-3: Factors of 80580

List of positive integer factors of 80580 that divides 80580 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 79, 85, 102, 158, 170, 204, 237, 255, 316, 340, 395, 474, 510, 790, 948, 1020, 1185, 1343, 1580, 2370, 2686, 4029, 4740, 5372, 6715, 8058, 13430, 16116, 20145, 26860, 40290

Step-4: Factors of 80591

List of positive integer factors of 80591 that divides 80580 without a remainder.

1, 7, 29, 203, 397, 2779, 11513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80580 and 80591. The biggest common factor number is the GCF number.
So the greatest common factor 80580 and 80591 is 1.

Also check out the Least Common Multiple of 80580 and 80591