What is the Greatest Common Factor of 6384 and 6391?

Greatest common factor (GCF) of 6384 and 6391 is 7.

GCF(6384,6391) = 7

We will now calculate the prime factors of 6384 and 6391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6384 and 6391.

How to find the GCF of 6384 and 6391?

We will first find the prime factorization of 6384 and 6391. After we will calculate the factors of 6384 and 6391 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 6391

Prime factors of 6391 are 7, 11, 83. Prime factorization of 6391 in exponential form is:

6391 = 7¹ × 11¹ × 83¹

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 6391

List of positive integer factors of 6391 that divides 6384 without a remainder.

1, 7, 11, 77, 83, 581, 913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6384 and 6391. The biggest common factor number is the GCF number.
So the greatest common factor 6384 and 6391 is 7.

Also check out the Least Common Multiple of 6384 and 6391