What is the Greatest Common Factor of 32805 and 32823?

Greatest common factor (GCF) of 32805 and 32823 is 9.

GCF(32805,32823) = 9

We will now calculate the prime factors of 32805 and 32823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32805 and 32823.

How to find the GCF of 32805 and 32823?

We will first find the prime factorization of 32805 and 32823. After we will calculate the factors of 32805 and 32823 and find the biggest common factor number .

Step-1: Prime Factorization of 32805

Prime factors of 32805 are 3, 5. Prime factorization of 32805 in exponential form is:

32805 = 3⁸ × 5¹

Step-2: Prime Factorization of 32823

Prime factors of 32823 are 3, 7, 521. Prime factorization of 32823 in exponential form is:

32823 = 3² × 7¹ × 521¹

Step-3: Factors of 32805

List of positive integer factors of 32805 that divides 32805 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215, 2187, 3645, 6561, 10935

Step-4: Factors of 32823

List of positive integer factors of 32823 that divides 32805 without a remainder.

1, 3, 7, 9, 21, 63, 521, 1563, 3647, 4689, 10941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32805 and 32823. The biggest common factor number is the GCF number.
So the greatest common factor 32805 and 32823 is 9.

Also check out the Least Common Multiple of 32805 and 32823