What is the Greatest Common Factor of 33800 and 33808?

Greatest common factor (GCF) of 33800 and 33808 is 8.

GCF(33800,33808) = 8

We will now calculate the prime factors of 33800 and 33808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33800 and 33808.

How to find the GCF of 33800 and 33808?

We will first find the prime factorization of 33800 and 33808. After we will calculate the factors of 33800 and 33808 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 33808

Prime factors of 33808 are 2, 2113. Prime factorization of 33808 in exponential form is:

33808 = 2⁴ × 2113¹

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 33808

List of positive integer factors of 33808 that divides 33800 without a remainder.

1, 2, 4, 8, 16, 2113, 4226, 8452, 16904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33800 and 33808. The biggest common factor number is the GCF number.
So the greatest common factor 33800 and 33808 is 8.

Also check out the Least Common Multiple of 33800 and 33808