What is the Greatest Common Factor of 8801 and 8809?

Greatest common factor (GCF) of 8801 and 8809 is 1.

GCF(8801,8809) = 1

We will now calculate the prime factors of 8801 and 8809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8801 and 8809.

How to find the GCF of 8801 and 8809?

We will first find the prime factorization of 8801 and 8809. After we will calculate the factors of 8801 and 8809 and find the biggest common factor number .

Step-1: Prime Factorization of 8801

Prime factors of 8801 are 13, 677. Prime factorization of 8801 in exponential form is:

8801 = 13¹ × 677¹

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 8801

List of positive integer factors of 8801 that divides 8801 without a remainder.

1, 13, 677

Step-4: Factors of 8809

List of positive integer factors of 8809 that divides 8801 without a remainder.

1, 23, 383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8801 and 8809. The biggest common factor number is the GCF number.
So the greatest common factor 8801 and 8809 is 1.

Also check out the Least Common Multiple of 8801 and 8809