What is the Greatest Common Factor of 33814 and 33824?

Greatest common factor (GCF) of 33814 and 33824 is 2.

GCF(33814,33824) = 2

We will now calculate the prime factors of 33814 and 33824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33814 and 33824.

How to find the GCF of 33814 and 33824?

We will first find the prime factorization of 33814 and 33824. After we will calculate the factors of 33814 and 33824 and find the biggest common factor number .

Step-1: Prime Factorization of 33814

Prime factors of 33814 are 2, 11, 29, 53. Prime factorization of 33814 in exponential form is:

33814 = 2¹ × 11¹ × 29¹ × 53¹

Step-2: 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-3: Factors of 33814

List of positive integer factors of 33814 that divides 33814 without a remainder.

1, 2, 11, 22, 29, 53, 58, 106, 319, 583, 638, 1166, 1537, 3074, 16907

Step-4: Factors of 33824

List of positive integer factors of 33824 that divides 33814 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33814 and 33824. The biggest common factor number is the GCF number.
So the greatest common factor 33814 and 33824 is 2.

Also check out the Least Common Multiple of 33814 and 33824