What is the Greatest Common Factor of 33418 and 33438?

Greatest common factor (GCF) of 33418 and 33438 is 2.

GCF(33418,33438) = 2

We will now calculate the prime factors of 33418 and 33438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33418 and 33438.

How to find the GCF of 33418 and 33438?

We will first find the prime factorization of 33418 and 33438. After we will calculate the factors of 33418 and 33438 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33438

Prime factors of 33438 are 2, 3, 5573. Prime factorization of 33438 in exponential form is:

33438 = 2¹ × 3¹ × 5573¹

Step-3: Factors of 33418

List of positive integer factors of 33418 that divides 33418 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

Step-4: Factors of 33438

List of positive integer factors of 33438 that divides 33418 without a remainder.

1, 2, 3, 6, 5573, 11146, 16719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33418 and 33438. The biggest common factor number is the GCF number.
So the greatest common factor 33418 and 33438 is 2.

Also check out the Least Common Multiple of 33418 and 33438