What is the Greatest Common Factor of 6384 and 6401?

Greatest common factor (GCF) of 6384 and 6401 is 1.

GCF(6384,6401) = 1

We will now calculate the prime factors of 6384 and 6401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6384 and 6401.

How to find the GCF of 6384 and 6401?

We will first find the prime factorization of 6384 and 6401. After we will calculate the factors of 6384 and 6401 and find the biggest common factor number .

Step-1: Prime Factorization of 6384

Prime factors of 6384 are 2, 3, 7, 19. Prime factorization of 6384 in exponential form is:

6384 = 2⁴ × 3¹ × 7¹ × 19¹

Step-2: Prime Factorization of 6401

Prime factors of 6401 are 37, 173. Prime factorization of 6401 in exponential form is:

6401 = 37¹ × 173¹

Step-3: Factors of 6384

List of positive integer factors of 6384 that divides 6384 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 19, 21, 24, 28, 38, 42, 48, 56, 57, 76, 84, 112, 114, 133, 152, 168, 228, 266, 304, 336, 399, 456, 532, 798, 912, 1064, 1596, 2128, 3192

Step-4: Factors of 6401

List of positive integer factors of 6401 that divides 6384 without a remainder.

1, 37, 173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6384 and 6401. The biggest common factor number is the GCF number.
So the greatest common factor 6384 and 6401 is 1.

Also check out the Least Common Multiple of 6384 and 6401