What is the Greatest Common Factor of 32793 and 32808?

Greatest common factor (GCF) of 32793 and 32808 is 3.

GCF(32793,32808) = 3

We will now calculate the prime factors of 32793 and 32808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32793 and 32808.

How to find the GCF of 32793 and 32808?

We will first find the prime factorization of 32793 and 32808. After we will calculate the factors of 32793 and 32808 and find the biggest common factor number .

Step-1: Prime Factorization of 32793

Prime factors of 32793 are 3, 17, 643. Prime factorization of 32793 in exponential form is:

32793 = 3¹ × 17¹ × 643¹

Step-2: 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-3: Factors of 32793

List of positive integer factors of 32793 that divides 32793 without a remainder.

1, 3, 17, 51, 643, 1929, 10931

Step-4: Factors of 32808

List of positive integer factors of 32808 that divides 32793 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32793 and 32808. The biggest common factor number is the GCF number.
So the greatest common factor 32793 and 32808 is 3.

Also check out the Least Common Multiple of 32793 and 32808