Greatest Common Factor of 6376 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 6376, 6384 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6376 and 6384 is 8.

GCF(6376,6384) = 8

GCF of 6376 and 6384

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

GCF of:
and

Greatest Common Factor of 6376 and 6384

GCF of 6376 and 6384 is 8

Prime Factorization of 6376


2 6376
2 3188
2 1594
797 797
1

Prime factors of 6376 are 2,797. Prime factorization of 6376 in exponential form is:

6376 = 23×7971

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 6376 and 6384 is 8

Greatest Common Factor of 6376 and 6384 by matching factors method

Factors of 6376

List of positive integer factors of 6376 that divides 6376 without a remainder.

1,2,4,8,797,1594,3188,6376

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 6376 and 6384. The biggest common factor number is the GCF number.
So the greatest common factor 6376 and 6384 is 8.

Also check out the Least Common Multiple of 6376 and 6384

Properties of GCF 6376 and 6384

(i) The GCF of 6376 and 6384 is associative

GCF of 6376 and 6384 = GCF of 6384 and 6376

Related Greatest Common Factor of 6376

Related Greatest Common Factor of 6384

Frequently Asked Questions on GCF of 6376 and 6384

1. What is the GCF of 6376 and 6384?

Answer: GCF of 6376 and 6384 is 8.

2. What are the Factors of 6376?

Answer: Factors of 6376 are 1, 2, 4, 8, 797, 1594, 3188, 6376. There are 8 integers that are factors of 6376. The greatest factor of 6376 is 6376.

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 6376 and 6384?

Answer:

Greatest Common Factor of 6376 and 6384 = 8

Step 1: Find the prime factorization of 6376

6376 = 2 x 2 x 2 x 797

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 x 2 = 8

Step 4: Therefore, the greatest common factor of 6376 and 6384 is 8