What is the Greatest Common Factor of 32795 and 32805?

Greatest common factor (GCF) of 32795 and 32805 is 5.

GCF(32795,32805) = 5

We will now calculate the prime factors of 32795 and 32805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32795 and 32805.

How to find the GCF of 32795 and 32805?

We will first find the prime factorization of 32795 and 32805. After we will calculate the factors of 32795 and 32805 and find the biggest common factor number .

Step-1: Prime Factorization of 32795

Prime factors of 32795 are 5, 7, 937. Prime factorization of 32795 in exponential form is:

32795 = 5¹ × 7¹ × 937¹

Step-2: Prime Factorization of 32805

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

32805 = 3⁸ × 5¹

Step-3: Factors of 32795

List of positive integer factors of 32795 that divides 32795 without a remainder.

1, 5, 7, 35, 937, 4685, 6559

Step-4: Factors of 32805

List of positive integer factors of 32805 that divides 32795 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32795 and 32805. The biggest common factor number is the GCF number.
So the greatest common factor 32795 and 32805 is 5.

Also check out the Least Common Multiple of 32795 and 32805