Greatest Common Factor of 6384 and 6390

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, 6390 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6384 and 6390 is 6.

GCF(6384,6390) = 6

GCF of 6384 and 6390

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

GCF of:
and

Greatest Common Factor of 6384 and 6390

GCF of 6384 and 6390 is 6

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 6390


2 6390
3 3195
3 1065
5 355
71 71
1

Prime factors of 6390 are 2,3,5,71. Prime factorization of 6390 in exponential form is:

6390 = 21×32×51×711

∴ So by taking common prime factors GCF of 6384 and 6390 is 6

Greatest Common Factor of 6384 and 6390 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 6390

List of positive integer factors of 6390 that divides 6390 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,71,90,142,213,355,426,639,710,1065,1278,2130,3195,6390

Greatest Common Factor

We found the factors and prime factorization of 6384 and 6390. The biggest common factor number is the GCF number.
So the greatest common factor 6384 and 6390 is 6.

Also check out the Least Common Multiple of 6384 and 6390

Properties of GCF 6384 and 6390

(i) The GCF of 6384 and 6390 is associative

GCF of 6384 and 6390 = GCF of 6390 and 6384

Related Greatest Common Factor of 6384

Related Greatest Common Factor of 6390

Frequently Asked Questions on GCF of 6384 and 6390

1. What is the GCF of 6384 and 6390?

Answer: GCF of 6384 and 6390 is 6.

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 6390?

Answer: Factors of 6390 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 71, 90, 142, 213, 355, 426, 639, 710, 1065, 1278, 2130, 3195, 6390. There are 24 integers that are factors of 6390. The greatest factor of 6390 is 6390.

4. How to Find the GCF of 6384 and 6390?

Answer:

Greatest Common Factor of 6384 and 6390 = 6

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 6390

6390 = 2 x 3 x 3 x 5 x 71

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 6384 and 6390 is 6