What is the Greatest Common Factor of 33824 and 33830?

Greatest common factor (GCF) of 33824 and 33830 is 2.

GCF(33824,33830) = 2

We will now calculate the prime factors of 33824 and 33830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33824 and 33830.

How to find the GCF of 33824 and 33830?

We will first find the prime factorization of 33824 and 33830. After we will calculate the factors of 33824 and 33830 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 33830

Prime factors of 33830 are 2, 5, 17, 199. Prime factorization of 33830 in exponential form is:

33830 = 2¹ × 5¹ × 17¹ × 199¹

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 33830

List of positive integer factors of 33830 that divides 33824 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 199, 398, 995, 1990, 3383, 6766, 16915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33824 and 33830. The biggest common factor number is the GCF number.
So the greatest common factor 33824 and 33830 is 2.

Also check out the Least Common Multiple of 33824 and 33830