What is the Greatest Common Factor of 18590 and 18605?

Greatest common factor (GCF) of 18590 and 18605 is 5.

GCF(18590,18605) = 5

We will now calculate the prime factors of 18590 and 18605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18590 and 18605.

How to find the GCF of 18590 and 18605?

We will first find the prime factorization of 18590 and 18605. After we will calculate the factors of 18590 and 18605 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18605

Prime factors of 18605 are 5, 61. Prime factorization of 18605 in exponential form is:

18605 = 5¹ × 61²

Step-3: Factors of 18590

List of positive integer factors of 18590 that divides 18590 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

Step-4: Factors of 18605

List of positive integer factors of 18605 that divides 18590 without a remainder.

1, 5, 61, 305, 3721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18590 and 18605. The biggest common factor number is the GCF number.
So the greatest common factor 18590 and 18605 is 5.

Also check out the Least Common Multiple of 18590 and 18605