What is the Greatest Common Factor of 33800 and 33811?

Greatest common factor (GCF) of 33800 and 33811 is 1.

GCF(33800,33811) = 1

We will now calculate the prime factors of 33800 and 33811, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33800 and 33811.

How to find the GCF of 33800 and 33811?

We will first find the prime factorization of 33800 and 33811. After we will calculate the factors of 33800 and 33811 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 33811

Prime factors of 33811 are 33811. Prime factorization of 33811 in exponential form is:

33811 = 33811¹

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 33811

List of positive integer factors of 33811 that divides 33800 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33800 and 33811. The biggest common factor number is the GCF number.
So the greatest common factor 33800 and 33811 is 1.

Also check out the Least Common Multiple of 33800 and 33811