What is the Greatest Common Factor of 32808 and 32817?

Greatest common factor (GCF) of 32808 and 32817 is 3.

GCF(32808,32817) = 3

We will now calculate the prime factors of 32808 and 32817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32808 and 32817.

How to find the GCF of 32808 and 32817?

We will first find the prime factorization of 32808 and 32817. After we will calculate the factors of 32808 and 32817 and find the biggest common factor number .

Step-1: Prime Factorization of 32808

Prime factors of 32808 are 2, 3, 1367. Prime factorization of 32808 in exponential form is:

32808 = 2³ × 3¹ × 1367¹

Step-2: Prime Factorization of 32817

Prime factors of 32817 are 3, 10939. Prime factorization of 32817 in exponential form is:

32817 = 3¹ × 10939¹

Step-3: Factors of 32808

List of positive integer factors of 32808 that divides 32808 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1367, 2734, 4101, 5468, 8202, 10936, 16404

Step-4: Factors of 32817

List of positive integer factors of 32817 that divides 32808 without a remainder.

1, 3, 10939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32808 and 32817. The biggest common factor number is the GCF number.
So the greatest common factor 32808 and 32817 is 3.

Also check out the Least Common Multiple of 32808 and 32817