Greatest Common Factor of 6384 and 6391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 6384, 6391 i.e. 7 largest integer by which both the numbers can be divided.

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

GCF(6384,6391) = 7

GCF of 6384 and 6391

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 6384 and 6391

GCF of 6384 and 6391 is 7

Prime Factorization of 6384


2 6384
2 3192
2 1596
2 798
3 399
7 133
19 19
1

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

6384 = 24×31×71×191

Prime Factorization of 6391


7 6391
11 913
83 83
1

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

6391 = 71×111×831

∴ So by taking common prime factors GCF of 6384 and 6391 is 7

Greatest Common Factor of 6384 and 6391 by matching factors method

Factors of 6384

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

1,2,3,4,6,7,8,12,14,16,19,21,24,28,38,42,48,56,57,76,84,112,114,133,152,168,228,266,304,336,399,456,532,798,912,1064,1596,2128,3192,6384

Factors of 6391

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

1,7,11,77,83,581,913,6391

Greatest Common Factor

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

Properties of GCF 6384 and 6391

(i) The GCF of 6384 and 6391 is associative

GCF of 6384 and 6391 = GCF of 6391 and 6384

Related Greatest Common Factor of 6384

Related Greatest Common Factor of 6391

Frequently Asked Questions on GCF of 6384 and 6391

1. What is the GCF of 6384 and 6391?

Answer: GCF of 6384 and 6391 is 7.

2. What are the Factors of 6384?

Answer: Factors of 6384 are 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, 6384. There are 40 integers that are factors of 6384. The greatest factor of 6384 is 6384.

3. What are the Factors of 6391?

Answer: Factors of 6391 are 1, 7, 11, 77, 83, 581, 913, 6391. There are 8 integers that are factors of 6391. The greatest factor of 6391 is 6391.

4. How to Find the GCF of 6384 and 6391?

Answer:

Greatest Common Factor of 6384 and 6391 = 7

Step 1: Find the prime factorization of 6384

6384 = 2 x 2 x 2 x 2 x 3 x 7 x 19

Step 2: Find the prime factorization of 6391

6391 = 7 x 11 x 83

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 6384 and 6391 is 7