What is the Greatest Common Factor of 15805 and 15809?

Greatest common factor (GCF) of 15805 and 15809 is 1.

GCF(15805,15809) = 1

We will now calculate the prime factors of 15805 and 15809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15805 and 15809.

How to find the GCF of 15805 and 15809?

We will first find the prime factorization of 15805 and 15809. After we will calculate the factors of 15805 and 15809 and find the biggest common factor number .

Step-1: Prime Factorization of 15805

Prime factors of 15805 are 5, 29, 109. Prime factorization of 15805 in exponential form is:

15805 = 5¹ × 29¹ × 109¹

Step-2: Prime Factorization of 15809

Prime factors of 15809 are 15809. Prime factorization of 15809 in exponential form is:

15809 = 15809¹

Step-3: Factors of 15805

List of positive integer factors of 15805 that divides 15805 without a remainder.

1, 5, 29, 109, 145, 545, 3161

Step-4: Factors of 15809

List of positive integer factors of 15809 that divides 15805 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15805 and 15809. The biggest common factor number is the GCF number.
So the greatest common factor 15805 and 15809 is 1.

Also check out the Least Common Multiple of 15805 and 15809