What is the Greatest Common Factor of 18580 and 18590?

Greatest common factor (GCF) of 18580 and 18590 is 10.

GCF(18580,18590) = 10

We will now calculate the prime factors of 18580 and 18590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18580 and 18590.

How to find the GCF of 18580 and 18590?

We will first find the prime factorization of 18580 and 18590. After we will calculate the factors of 18580 and 18590 and find the biggest common factor number .

Step-1: Prime Factorization of 18580

Prime factors of 18580 are 2, 5, 929. Prime factorization of 18580 in exponential form is:

18580 = 2² × 5¹ × 929¹

Step-2: Prime Factorization of 18590

Prime factors of 18590 are 2, 5, 11, 13. Prime factorization of 18590 in exponential form is:

18590 = 2¹ × 5¹ × 11¹ × 13²

Step-3: Factors of 18580

List of positive integer factors of 18580 that divides 18580 without a remainder.

1, 2, 4, 5, 10, 20, 929, 1858, 3716, 4645, 9290

Step-4: Factors of 18590

List of positive integer factors of 18590 that divides 18580 without a remainder.

1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 169, 286, 338, 715, 845, 1430, 1690, 1859, 3718, 9295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18580 and 18590. The biggest common factor number is the GCF number.
So the greatest common factor 18580 and 18590 is 10.

Also check out the Least Common Multiple of 18580 and 18590