What is the Greatest Common Factor of 8809 and 8816?

Greatest common factor (GCF) of 8809 and 8816 is 1.

GCF(8809,8816) = 1

We will now calculate the prime factors of 8809 and 8816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8809 and 8816.

How to find the GCF of 8809 and 8816?

We will first find the prime factorization of 8809 and 8816. After we will calculate the factors of 8809 and 8816 and find the biggest common factor number .

Step-1: Prime Factorization of 8809

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

8809 = 23¹ × 383¹

Step-2: Prime Factorization of 8816

Prime factors of 8816 are 2, 19, 29. Prime factorization of 8816 in exponential form is:

8816 = 2⁴ × 19¹ × 29¹

Step-3: Factors of 8809

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

1, 23, 383

Step-4: Factors of 8816

List of positive integer factors of 8816 that divides 8809 without a remainder.

1, 2, 4, 8, 16, 19, 29, 38, 58, 76, 116, 152, 232, 304, 464, 551, 1102, 2204, 4408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8809 and 8816. The biggest common factor number is the GCF number.
So the greatest common factor 8809 and 8816 is 1.

Also check out the Least Common Multiple of 8809 and 8816