What is the Greatest Common Factor of 33849 and 33856?

Greatest common factor (GCF) of 33849 and 33856 is 1.

GCF(33849,33856) = 1

We will now calculate the prime factors of 33849 and 33856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33849 and 33856.

How to find the GCF of 33849 and 33856?

We will first find the prime factorization of 33849 and 33856. After we will calculate the factors of 33849 and 33856 and find the biggest common factor number .

Step-1: Prime Factorization of 33849

Prime factors of 33849 are 3, 3761. Prime factorization of 33849 in exponential form is:

33849 = 3² × 3761¹

Step-2: Prime Factorization of 33856

Prime factors of 33856 are 2, 23. Prime factorization of 33856 in exponential form is:

33856 = 2⁶ × 23²

Step-3: Factors of 33849

List of positive integer factors of 33849 that divides 33849 without a remainder.

1, 3, 9, 3761, 11283

Step-4: Factors of 33856

List of positive integer factors of 33856 that divides 33849 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 529, 736, 1058, 1472, 2116, 4232, 8464, 16928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33849 and 33856. The biggest common factor number is the GCF number.
So the greatest common factor 33849 and 33856 is 1.

Also check out the Least Common Multiple of 33849 and 33856