Greatest Common Factor of 6320 and 6327

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 6320, 6327 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6320 and 6327 is 1.

GCF(6320,6327) = 1

GCF of 6320 and 6327

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

GCF of:
and

Greatest Common Factor of 6320 and 6327

GCF of 6320 and 6327 is 1

Prime Factorization of 6320


2 6320
2 3160
2 1580
2 790
5 395
79 79
1

Prime factors of 6320 are 2,5,79. Prime factorization of 6320 in exponential form is:

6320 = 24×51×791

Prime Factorization of 6327


3 6327
3 2109
19 703
37 37
1

Prime factors of 6327 are 3,19,37. Prime factorization of 6327 in exponential form is:

6327 = 32×191×371

∴ So by taking common prime factors GCF of 6320 and 6327 is 1

Greatest Common Factor of 6320 and 6327 by matching factors method

Factors of 6320

List of positive integer factors of 6320 that divides 6320 without a remainder.

1,2,4,5,8,10,16,20,40,79,80,158,316,395,632,790,1264,1580,3160,6320

Factors of 6327

List of positive integer factors of 6327 that divides 6327 without a remainder.

1,3,9,19,37,57,111,171,333,703,2109,6327

Greatest Common Factor

We found the factors and prime factorization of 6320 and 6327. The biggest common factor number is the GCF number.
So the greatest common factor 6320 and 6327 is 1.

Also check out the Least Common Multiple of 6320 and 6327

Properties of GCF 6320 and 6327

(i) The GCF of 6320 and 6327 is associative

GCF of 6320 and 6327 = GCF of 6327 and 6320

Frequently Asked Questions on GCF of 6320 and 6327

1. What is the GCF of 6320 and 6327?

Answer: GCF of 6320 and 6327 is 1.

2. What are the Factors of 6320?

Answer: Factors of 6320 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 79, 80, 158, 316, 395, 632, 790, 1264, 1580, 3160, 6320. There are 20 integers that are factors of 6320. The greatest factor of 6320 is 6320.

3. What are the Factors of 6327?

Answer: Factors of 6327 are 1, 3, 9, 19, 37, 57, 111, 171, 333, 703, 2109, 6327. There are 12 integers that are factors of 6327. The greatest factor of 6327 is 6327.

4. How to Find the GCF of 6320 and 6327?

Answer:

Greatest Common Factor of 6320 and 6327 = 1

Step 1: Find the prime factorization of 6320

6320 = 2 x 2 x 2 x 2 x 5 x 79

Step 2: Find the prime factorization of 6327

6327 = 3 x 3 x 19 x 37

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 6320 and 6327 is 1