What is the Greatest Common Factor of 80580 and 80587?

Greatest common factor (GCF) of 80580 and 80587 is 1.

GCF(80580,80587) = 1

We will now calculate the prime factors of 80580 and 80587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80580 and 80587.

How to find the GCF of 80580 and 80587?

We will first find the prime factorization of 80580 and 80587. After we will calculate the factors of 80580 and 80587 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 80587

Prime factors of 80587 are 13, 6199. Prime factorization of 80587 in exponential form is:

80587 = 13¹ × 6199¹

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 80587

List of positive integer factors of 80587 that divides 80580 without a remainder.

1, 13, 6199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80580 and 80587. The biggest common factor number is the GCF number.
So the greatest common factor 80580 and 80587 is 1.

Also check out the Least Common Multiple of 80580 and 80587