Greatest Common Factor of 6312 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 6312, 6320 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6312 and 6320 is 8.

GCF(6312,6320) = 8

GCF of 6312 and 6320

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

GCF of:
and

Greatest Common Factor of 6312 and 6320

GCF of 6312 and 6320 is 8

Prime Factorization of 6312


2 6312
2 3156
2 1578
3 789
263 263
1

Prime factors of 6312 are 2,3,263. Prime factorization of 6312 in exponential form is:

6312 = 23×31×2631

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 6312 and 6320 is 8

Greatest Common Factor of 6312 and 6320 by matching factors method

Factors of 6312

List of positive integer factors of 6312 that divides 6312 without a remainder.

1,2,3,4,6,8,12,24,263,526,789,1052,1578,2104,3156,6312

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 6312 and 6320. The biggest common factor number is the GCF number.
So the greatest common factor 6312 and 6320 is 8.

Also check out the Least Common Multiple of 6312 and 6320

Properties of GCF 6312 and 6320

(i) The GCF of 6312 and 6320 is associative

GCF of 6312 and 6320 = GCF of 6320 and 6312

Related Greatest Common Factor of 6312

Related Greatest Common Factor of 6320

Frequently Asked Questions on GCF of 6312 and 6320

1. What is the GCF of 6312 and 6320?

Answer: GCF of 6312 and 6320 is 8.

2. What are the Factors of 6312?

Answer: Factors of 6312 are 1, 2, 3, 4, 6, 8, 12, 24, 263, 526, 789, 1052, 1578, 2104, 3156, 6312. There are 16 integers that are factors of 6312. The greatest factor of 6312 is 6312.

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 6312 and 6320?

Answer:

Greatest Common Factor of 6312 and 6320 = 8

Step 1: Find the prime factorization of 6312

6312 = 2 x 2 x 2 x 3 x 263

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 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 6312 and 6320 is 8