What is the Greatest Common Factor of 33800 and 33805?

Greatest common factor (GCF) of 33800 and 33805 is 5.

GCF(33800,33805) = 5

We will now calculate the prime factors of 33800 and 33805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33800 and 33805.

How to find the GCF of 33800 and 33805?

We will first find the prime factorization of 33800 and 33805. After we will calculate the factors of 33800 and 33805 and find the biggest common factor number .

Step-1: Prime Factorization of 33800

Prime factors of 33800 are 2, 5, 13. Prime factorization of 33800 in exponential form is:

33800 = 2³ × 5² × 13²

Step-2: Prime Factorization of 33805

Prime factors of 33805 are 5, 6761. Prime factorization of 33805 in exponential form is:

33805 = 5¹ × 6761¹

Step-3: Factors of 33800

List of positive integer factors of 33800 that divides 33800 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 169, 200, 260, 325, 338, 520, 650, 676, 845, 1300, 1352, 1690, 2600, 3380, 4225, 6760, 8450, 16900

Step-4: Factors of 33805

List of positive integer factors of 33805 that divides 33800 without a remainder.

1, 5, 6761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33800 and 33805. The biggest common factor number is the GCF number.
So the greatest common factor 33800 and 33805 is 5.

Also check out the Least Common Multiple of 33800 and 33805