What is the Greatest Common Factor of 33682 and 33698?

Greatest common factor (GCF) of 33682 and 33698 is 2.

GCF(33682,33698) = 2

We will now calculate the prime factors of 33682 and 33698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33682 and 33698.

How to find the GCF of 33682 and 33698?

We will first find the prime factorization of 33682 and 33698. After we will calculate the factors of 33682 and 33698 and find the biggest common factor number .

Step-1: Prime Factorization of 33682

Prime factors of 33682 are 2, 11, 1531. Prime factorization of 33682 in exponential form is:

33682 = 2¹ × 11¹ × 1531¹

Step-2: Prime Factorization of 33698

Prime factors of 33698 are 2, 7, 29, 83. Prime factorization of 33698 in exponential form is:

33698 = 2¹ × 7¹ × 29¹ × 83¹

Step-3: Factors of 33682

List of positive integer factors of 33682 that divides 33682 without a remainder.

1, 2, 11, 22, 1531, 3062, 16841

Step-4: Factors of 33698

List of positive integer factors of 33698 that divides 33682 without a remainder.

1, 2, 7, 14, 29, 58, 83, 166, 203, 406, 581, 1162, 2407, 4814, 16849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33682 and 33698. The biggest common factor number is the GCF number.
So the greatest common factor 33682 and 33698 is 2.

Also check out the Least Common Multiple of 33682 and 33698