What is the Greatest Common Factor of 33805 and 33819?

Greatest common factor (GCF) of 33805 and 33819 is 1.

GCF(33805,33819) = 1

We will now calculate the prime factors of 33805 and 33819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33805 and 33819.

How to find the GCF of 33805 and 33819?

We will first find the prime factorization of 33805 and 33819. After we will calculate the factors of 33805 and 33819 and find the biggest common factor number .

Step-1: Prime Factorization of 33805

Prime factors of 33805 are 5, 6761. Prime factorization of 33805 in exponential form is:

33805 = 5¹ × 6761¹

Step-2: Prime Factorization of 33819

Prime factors of 33819 are 3, 11273. Prime factorization of 33819 in exponential form is:

33819 = 3¹ × 11273¹

Step-3: Factors of 33805

List of positive integer factors of 33805 that divides 33805 without a remainder.

1, 5, 6761

Step-4: Factors of 33819

List of positive integer factors of 33819 that divides 33805 without a remainder.

1, 3, 11273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33805 and 33819. The biggest common factor number is the GCF number.
So the greatest common factor 33805 and 33819 is 1.

Also check out the Least Common Multiple of 33805 and 33819