What is the Greatest Common Factor of 32805 and 32812?

Greatest common factor (GCF) of 32805 and 32812 is 1.

GCF(32805,32812) = 1

We will now calculate the prime factors of 32805 and 32812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32805 and 32812.

How to find the GCF of 32805 and 32812?

We will first find the prime factorization of 32805 and 32812. After we will calculate the factors of 32805 and 32812 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 32812

Prime factors of 32812 are 2, 13, 631. Prime factorization of 32812 in exponential form is:

32812 = 2² × 13¹ × 631¹

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 32812

List of positive integer factors of 32812 that divides 32805 without a remainder.

1, 2, 4, 13, 26, 52, 631, 1262, 2524, 8203, 16406

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32805 and 32812. The biggest common factor number is the GCF number.
So the greatest common factor 32805 and 32812 is 1.

Also check out the Least Common Multiple of 32805 and 32812