What is the Greatest Common Factor of 80580 and 80586?

Greatest common factor (GCF) of 80580 and 80586 is 6.

GCF(80580,80586) = 6

We will now calculate the prime factors of 80580 and 80586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80580 and 80586.

How to find the GCF of 80580 and 80586?

We will first find the prime factorization of 80580 and 80586. After we will calculate the factors of 80580 and 80586 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 80586

Prime factors of 80586 are 2, 3, 11, 37. Prime factorization of 80586 in exponential form is:

80586 = 2¹ × 3² × 11² × 37¹

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 80586

List of positive integer factors of 80586 that divides 80580 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 37, 66, 74, 99, 111, 121, 198, 222, 242, 333, 363, 407, 666, 726, 814, 1089, 1221, 2178, 2442, 3663, 4477, 7326, 8954, 13431, 26862, 40293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80580 and 80586. The biggest common factor number is the GCF number.
So the greatest common factor 80580 and 80586 is 6.

Also check out the Least Common Multiple of 80580 and 80586