Greatest Common Factor of 6314 and 6320

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 6314, 6320 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6314 and 6320 is 2.

GCF(6314,6320) = 2

GCF of 6314 and 6320

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

GCF of:
and

Greatest Common Factor of 6314 and 6320

GCF of 6314 and 6320 is 2

Prime Factorization of 6314


2 6314
7 3157
11 451
41 41
1

Prime factors of 6314 are 2,7,11,41. Prime factorization of 6314 in exponential form is:

6314 = 21×71×111×411

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

∴ So by taking common prime factors GCF of 6314 and 6320 is 2

Greatest Common Factor of 6314 and 6320 by matching factors method

Factors of 6314

List of positive integer factors of 6314 that divides 6314 without a remainder.

1,2,7,11,14,22,41,77,82,154,287,451,574,902,3157,6314

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

Greatest Common Factor

We found the factors and prime factorization of 6314 and 6320. The biggest common factor number is the GCF number.
So the greatest common factor 6314 and 6320 is 2.

Also check out the Least Common Multiple of 6314 and 6320

Properties of GCF 6314 and 6320

(i) The GCF of 6314 and 6320 is associative

GCF of 6314 and 6320 = GCF of 6320 and 6314

Related Greatest Common Factor of 6314

Related Greatest Common Factor of 6320

Frequently Asked Questions on GCF of 6314 and 6320

1. What is the GCF of 6314 and 6320?

Answer: GCF of 6314 and 6320 is 2.

2. What are the Factors of 6314?

Answer: Factors of 6314 are 1, 2, 7, 11, 14, 22, 41, 77, 82, 154, 287, 451, 574, 902, 3157, 6314. There are 16 integers that are factors of 6314. The greatest factor of 6314 is 6314.

3. 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.

4. How to Find the GCF of 6314 and 6320?

Answer:

Greatest Common Factor of 6314 and 6320 = 2

Step 1: Find the prime factorization of 6314

6314 = 2 x 7 x 11 x 41

Step 2: Find the prime factorization of 6320

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

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

GCF = 2

Step 4: Therefore, the greatest common factor of 6314 and 6320 is 2