What is the Greatest Common Factor of 33686 and 33698?

Greatest common factor (GCF) of 33686 and 33698 is 2.

GCF(33686,33698) = 2

We will now calculate the prime factors of 33686 and 33698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33686 and 33698.

How to find the GCF of 33686 and 33698?

We will first find the prime factorization of 33686 and 33698. After we will calculate the factors of 33686 and 33698 and find the biggest common factor number .

Step-1: Prime Factorization of 33686

Prime factors of 33686 are 2, 16843. Prime factorization of 33686 in exponential form is:

33686 = 2¹ × 16843¹

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 33686

List of positive integer factors of 33686 that divides 33686 without a remainder.

1, 2, 16843

Step-4: Factors of 33698

List of positive integer factors of 33698 that divides 33686 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 33686 and 33698. The biggest common factor number is the GCF number.
So the greatest common factor 33686 and 33698 is 2.

Also check out the Least Common Multiple of 33686 and 33698