What is the Greatest Common Factor of 32384 and 32404?

Greatest common factor (GCF) of 32384 and 32404 is 4.

GCF(32384,32404) = 4

We will now calculate the prime factors of 32384 and 32404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32384 and 32404.

How to find the GCF of 32384 and 32404?

We will first find the prime factorization of 32384 and 32404. After we will calculate the factors of 32384 and 32404 and find the biggest common factor number .

Step-1: Prime Factorization of 32384

Prime factors of 32384 are 2, 11, 23. Prime factorization of 32384 in exponential form is:

32384 = 2⁷ × 11¹ × 23¹

Step-2: Prime Factorization of 32404

Prime factors of 32404 are 2, 8101. Prime factorization of 32404 in exponential form is:

32404 = 2² × 8101¹

Step-3: Factors of 32384

List of positive integer factors of 32384 that divides 32384 without a remainder.

1, 2, 4, 8, 11, 16, 22, 23, 32, 44, 46, 64, 88, 92, 128, 176, 184, 253, 352, 368, 506, 704, 736, 1012, 1408, 1472, 2024, 2944, 4048, 8096, 16192

Step-4: Factors of 32404

List of positive integer factors of 32404 that divides 32384 without a remainder.

1, 2, 4, 8101, 16202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32384 and 32404. The biggest common factor number is the GCF number.
So the greatest common factor 32384 and 32404 is 4.

Also check out the Least Common Multiple of 32384 and 32404