What is the Greatest Common Factor of 33818 and 33828?

Greatest common factor (GCF) of 33818 and 33828 is 2.

GCF(33818,33828) = 2

We will now calculate the prime factors of 33818 and 33828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33818 and 33828.

How to find the GCF of 33818 and 33828?

We will first find the prime factorization of 33818 and 33828. After we will calculate the factors of 33818 and 33828 and find the biggest common factor number .

Step-1: Prime Factorization of 33818

Prime factors of 33818 are 2, 37, 457. Prime factorization of 33818 in exponential form is:

33818 = 2¹ × 37¹ × 457¹

Step-2: Prime Factorization of 33828

Prime factors of 33828 are 2, 3, 2819. Prime factorization of 33828 in exponential form is:

33828 = 2² × 3¹ × 2819¹

Step-3: Factors of 33818

List of positive integer factors of 33818 that divides 33818 without a remainder.

1, 2, 37, 74, 457, 914, 16909

Step-4: Factors of 33828

List of positive integer factors of 33828 that divides 33818 without a remainder.

1, 2, 3, 4, 6, 12, 2819, 5638, 8457, 11276, 16914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33818 and 33828. The biggest common factor number is the GCF number.
So the greatest common factor 33818 and 33828 is 2.

Also check out the Least Common Multiple of 33818 and 33828