What is the Greatest Common Factor of 18577 and 18590?

Greatest common factor (GCF) of 18577 and 18590 is 13.

GCF(18577,18590) = 13

We will now calculate the prime factors of 18577 and 18590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18577 and 18590.

How to find the GCF of 18577 and 18590?

We will first find the prime factorization of 18577 and 18590. After we will calculate the factors of 18577 and 18590 and find the biggest common factor number .

Step-1: Prime Factorization of 18577

Prime factors of 18577 are 13, 1429. Prime factorization of 18577 in exponential form is:

18577 = 13¹ × 1429¹

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 18577

List of positive integer factors of 18577 that divides 18577 without a remainder.

1, 13, 1429

Step-4: Factors of 18590

List of positive integer factors of 18590 that divides 18577 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 18577 and 18590. The biggest common factor number is the GCF number.
So the greatest common factor 18577 and 18590 is 13.

Also check out the Least Common Multiple of 18577 and 18590