Greatest Common Factor of 6380 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 6380, 6384 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6380 and 6384 is 4.

GCF(6380,6384) = 4

GCF of 6380 and 6384

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

GCF of:
and

Greatest Common Factor of 6380 and 6384

GCF of 6380 and 6384 is 4

Prime Factorization of 6380


2 6380
2 3190
5 1595
11 319
29 29
1

Prime factors of 6380 are 2,5,11,29. Prime factorization of 6380 in exponential form is:

6380 = 22×51×111×291

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 6380 and 6384 is 4

Greatest Common Factor of 6380 and 6384 by matching factors method

Factors of 6380

List of positive integer factors of 6380 that divides 6380 without a remainder.

1,2,4,5,10,11,20,22,29,44,55,58,110,116,145,220,290,319,580,638,1276,1595,3190,6380

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 6380 and 6384. The biggest common factor number is the GCF number.
So the greatest common factor 6380 and 6384 is 4.

Also check out the Least Common Multiple of 6380 and 6384

Properties of GCF 6380 and 6384

(i) The GCF of 6380 and 6384 is associative

GCF of 6380 and 6384 = GCF of 6384 and 6380

Related Greatest Common Factor of 6380

Related Greatest Common Factor of 6384

Frequently Asked Questions on GCF of 6380 and 6384

1. What is the GCF of 6380 and 6384?

Answer: GCF of 6380 and 6384 is 4.

2. What are the Factors of 6380?

Answer: Factors of 6380 are 1, 2, 4, 5, 10, 11, 20, 22, 29, 44, 55, 58, 110, 116, 145, 220, 290, 319, 580, 638, 1276, 1595, 3190, 6380. There are 24 integers that are factors of 6380. The greatest factor of 6380 is 6380.

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 6380 and 6384?

Answer:

Greatest Common Factor of 6380 and 6384 = 4

Step 1: Find the prime factorization of 6380

6380 = 2 x 2 x 5 x 11 x 29

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 2 = 4

Step 4: Therefore, the greatest common factor of 6380 and 6384 is 4