What is the Greatest Common Factor of 33824 and 33828?

Greatest common factor (GCF) of 33824 and 33828 is 4.

GCF(33824,33828) = 4

We will now calculate the prime factors of 33824 and 33828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33824 and 33828.

How to find the GCF of 33824 and 33828?

We will first find the prime factorization of 33824 and 33828. After we will calculate the factors of 33824 and 33828 and find the biggest common factor number .

Step-1: Prime Factorization of 33824

Prime factors of 33824 are 2, 7, 151. Prime factorization of 33824 in exponential form is:

33824 = 2⁵ × 7¹ × 151¹

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 33824

List of positive integer factors of 33824 that divides 33824 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 151, 224, 302, 604, 1057, 1208, 2114, 2416, 4228, 4832, 8456, 16912

Step-4: Factors of 33828

List of positive integer factors of 33828 that divides 33824 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 33824 and 33828. The biggest common factor number is the GCF number.
So the greatest common factor 33824 and 33828 is 4.

Also check out the Least Common Multiple of 33824 and 33828