What is the Greatest Common Factor of 18605 and 18621?

Greatest common factor (GCF) of 18605 and 18621 is 1.

GCF(18605,18621) = 1

We will now calculate the prime factors of 18605 and 18621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18605 and 18621.

How to find the GCF of 18605 and 18621?

We will first find the prime factorization of 18605 and 18621. After we will calculate the factors of 18605 and 18621 and find the biggest common factor number .

Step-1: Prime Factorization of 18605

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

18605 = 5¹ × 61²

Step-2: Prime Factorization of 18621

Prime factors of 18621 are 3, 2069. Prime factorization of 18621 in exponential form is:

18621 = 3² × 2069¹

Step-3: Factors of 18605

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

1, 5, 61, 305, 3721

Step-4: Factors of 18621

List of positive integer factors of 18621 that divides 18605 without a remainder.

1, 3, 9, 2069, 6207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18605 and 18621. The biggest common factor number is the GCF number.
So the greatest common factor 18605 and 18621 is 1.

Also check out the Least Common Multiple of 18605 and 18621