What is the Greatest Common Factor of 33800 and 33816?

Greatest common factor (GCF) of 33800 and 33816 is 8.

GCF(33800,33816) = 8

We will now calculate the prime factors of 33800 and 33816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33800 and 33816.

How to find the GCF of 33800 and 33816?

We will first find the prime factorization of 33800 and 33816. After we will calculate the factors of 33800 and 33816 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 33816

Prime factors of 33816 are 2, 3, 1409. Prime factorization of 33816 in exponential form is:

33816 = 2³ × 3¹ × 1409¹

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 33816

List of positive integer factors of 33816 that divides 33800 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1409, 2818, 4227, 5636, 8454, 11272, 16908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33800 and 33816. The biggest common factor number is the GCF number.
So the greatest common factor 33800 and 33816 is 8.

Also check out the Least Common Multiple of 33800 and 33816