What is the Greatest Common Factor of 33813 and 33826?

Greatest common factor (GCF) of 33813 and 33826 is 13.

GCF(33813,33826) = 13

We will now calculate the prime factors of 33813 and 33826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33813 and 33826.

How to find the GCF of 33813 and 33826?

We will first find the prime factorization of 33813 and 33826. After we will calculate the factors of 33813 and 33826 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33826

Prime factors of 33826 are 2, 13, 1301. Prime factorization of 33826 in exponential form is:

33826 = 2¹ × 13¹ × 1301¹

Step-3: Factors of 33813

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

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

Step-4: Factors of 33826

List of positive integer factors of 33826 that divides 33813 without a remainder.

1, 2, 13, 26, 1301, 2602, 16913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33813 and 33826. The biggest common factor number is the GCF number.
So the greatest common factor 33813 and 33826 is 13.

Also check out the Least Common Multiple of 33813 and 33826