What is the Greatest Common Factor of 33794 and 33813?

Greatest common factor (GCF) of 33794 and 33813 is 1.

GCF(33794,33813) = 1

We will now calculate the prime factors of 33794 and 33813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33794 and 33813.

How to find the GCF of 33794 and 33813?

We will first find the prime factorization of 33794 and 33813. After we will calculate the factors of 33794 and 33813 and find the biggest common factor number .

Step-1: Prime Factorization of 33794

Prime factors of 33794 are 2, 61, 277. Prime factorization of 33794 in exponential form is:

33794 = 2¹ × 61¹ × 277¹

Step-2: Prime Factorization of 33813

Prime factors of 33813 are 3, 13, 17. Prime factorization of 33813 in exponential form is:

33813 = 3² × 13¹ × 17²

Step-3: Factors of 33794

List of positive integer factors of 33794 that divides 33794 without a remainder.

1, 2, 61, 122, 277, 554, 16897

Step-4: Factors of 33813

List of positive integer factors of 33813 that divides 33794 without a remainder.

1, 3, 9, 13, 17, 39, 51, 117, 153, 221, 289, 663, 867, 1989, 2601, 3757, 11271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33794 and 33813. The biggest common factor number is the GCF number.
So the greatest common factor 33794 and 33813 is 1.

Also check out the Least Common Multiple of 33794 and 33813