What is the Greatest Common Factor of 33792 and 33809?

Greatest common factor (GCF) of 33792 and 33809 is 1.

GCF(33792,33809) = 1

We will now calculate the prime factors of 33792 and 33809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33792 and 33809.

How to find the GCF of 33792 and 33809?

We will first find the prime factorization of 33792 and 33809. After we will calculate the factors of 33792 and 33809 and find the biggest common factor number .

Step-1: Prime Factorization of 33792

Prime factors of 33792 are 2, 3, 11. Prime factorization of 33792 in exponential form is:

33792 = 2¹⁰ × 3¹ × 11¹

Step-2: Prime Factorization of 33809

Prime factors of 33809 are 33809. Prime factorization of 33809 in exponential form is:

33809 = 33809¹

Step-3: Factors of 33792

List of positive integer factors of 33792 that divides 33792 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 256, 264, 352, 384, 512, 528, 704, 768, 1024, 1056, 1408, 1536, 2112, 2816, 3072, 4224, 5632, 8448, 11264, 16896

Step-4: Factors of 33809

List of positive integer factors of 33809 that divides 33792 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33792 and 33809. The biggest common factor number is the GCF number.
So the greatest common factor 33792 and 33809 is 1.

Also check out the Least Common Multiple of 33792 and 33809