Greatest Common Factor of 6378 and 6384

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 6378, 6384 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6378 and 6384 is 6.

GCF(6378,6384) = 6

GCF of 6378 and 6384

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

GCF of:
and

Greatest Common Factor of 6378 and 6384

GCF of 6378 and 6384 is 6

Prime Factorization of 6378


2 6378
3 3189
1063 1063
1

Prime factors of 6378 are 2,3,1063. Prime factorization of 6378 in exponential form is:

6378 = 21×31×10631

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

∴ So by taking common prime factors GCF of 6378 and 6384 is 6

Greatest Common Factor of 6378 and 6384 by matching factors method

Factors of 6378

List of positive integer factors of 6378 that divides 6378 without a remainder.

1,2,3,6,1063,2126,3189,6378

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

Greatest Common Factor

We found the factors and prime factorization of 6378 and 6384. The biggest common factor number is the GCF number.
So the greatest common factor 6378 and 6384 is 6.

Also check out the Least Common Multiple of 6378 and 6384

Properties of GCF 6378 and 6384

(i) The GCF of 6378 and 6384 is associative

GCF of 6378 and 6384 = GCF of 6384 and 6378

Related Greatest Common Factor of 6378

Related Greatest Common Factor of 6384

Frequently Asked Questions on GCF of 6378 and 6384

1. What is the GCF of 6378 and 6384?

Answer: GCF of 6378 and 6384 is 6.

2. What are the Factors of 6378?

Answer: Factors of 6378 are 1, 2, 3, 6, 1063, 2126, 3189, 6378. There are 8 integers that are factors of 6378. The greatest factor of 6378 is 6378.

3. 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.

4. How to Find the GCF of 6378 and 6384?

Answer:

Greatest Common Factor of 6378 and 6384 = 6

Step 1: Find the prime factorization of 6378

6378 = 2 x 3 x 1063

Step 2: Find the prime factorization of 6384

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

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6378 and 6384 is 6