What is the Greatest Common Factor of 80580 and 80590?

Greatest common factor (GCF) of 80580 and 80590 is 10.

GCF(80580,80590) = 10

We will now calculate the prime factors of 80580 and 80590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80580 and 80590.

How to find the GCF of 80580 and 80590?

We will first find the prime factorization of 80580 and 80590. After we will calculate the factors of 80580 and 80590 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 80590

Prime factors of 80590 are 2, 5, 8059. Prime factorization of 80590 in exponential form is:

80590 = 2¹ × 5¹ × 8059¹

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 80590

List of positive integer factors of 80590 that divides 80580 without a remainder.

1, 2, 5, 10, 8059, 16118, 40295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80580 and 80590. The biggest common factor number is the GCF number.
So the greatest common factor 80580 and 80590 is 10.

Also check out the Least Common Multiple of 80580 and 80590