What is the Greatest Common Factor of 8805 and 8809?

Greatest common factor (GCF) of 8805 and 8809 is 1.

GCF(8805,8809) = 1

We will now calculate the prime factors of 8805 and 8809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8805 and 8809.

How to find the GCF of 8805 and 8809?

We will first find the prime factorization of 8805 and 8809. After we will calculate the factors of 8805 and 8809 and find the biggest common factor number .

Step-1: Prime Factorization of 8805

Prime factors of 8805 are 3, 5, 587. Prime factorization of 8805 in exponential form is:

8805 = 3¹ × 5¹ × 587¹

Step-2: Prime Factorization of 8809

Prime factors of 8809 are 23, 383. Prime factorization of 8809 in exponential form is:

8809 = 23¹ × 383¹

Step-3: Factors of 8805

List of positive integer factors of 8805 that divides 8805 without a remainder.

1, 3, 5, 15, 587, 1761, 2935

Step-4: Factors of 8809

List of positive integer factors of 8809 that divides 8805 without a remainder.

1, 23, 383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8805 and 8809. The biggest common factor number is the GCF number.
So the greatest common factor 8805 and 8809 is 1.

Also check out the Least Common Multiple of 8805 and 8809