What is the Greatest Common Factor of 33404 and 33418?

Greatest common factor (GCF) of 33404 and 33418 is 14.

GCF(33404,33418) = 14

We will now calculate the prime factors of 33404 and 33418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33404 and 33418.

How to find the GCF of 33404 and 33418?

We will first find the prime factorization of 33404 and 33418. After we will calculate the factors of 33404 and 33418 and find the biggest common factor number .

Step-1: Prime Factorization of 33404

Prime factors of 33404 are 2, 7, 1193. Prime factorization of 33404 in exponential form is:

33404 = 2² × 7¹ × 1193¹

Step-2: Prime Factorization of 33418

Prime factors of 33418 are 2, 7, 11, 31. Prime factorization of 33418 in exponential form is:

33418 = 2¹ × 7² × 11¹ × 31¹

Step-3: Factors of 33404

List of positive integer factors of 33404 that divides 33404 without a remainder.

1, 2, 4, 7, 14, 28, 1193, 2386, 4772, 8351, 16702

Step-4: Factors of 33418

List of positive integer factors of 33418 that divides 33404 without a remainder.

1, 2, 7, 11, 14, 22, 31, 49, 62, 77, 98, 154, 217, 341, 434, 539, 682, 1078, 1519, 2387, 3038, 4774, 16709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33404 and 33418. The biggest common factor number is the GCF number.
So the greatest common factor 33404 and 33418 is 14.

Also check out the Least Common Multiple of 33404 and 33418