Greatest Common Factor of 6304 and 6312

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 6304, 6312 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6304 and 6312 is 8.

GCF(6304,6312) = 8

GCF of 6304 and 6312

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

GCF of:
and

Greatest Common Factor of 6304 and 6312

GCF of 6304 and 6312 is 8

Prime Factorization of 6304


2 6304
2 3152
2 1576
2 788
2 394
197 197
1

Prime factors of 6304 are 2,197. Prime factorization of 6304 in exponential form is:

6304 = 25×1971

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

∴ So by taking common prime factors GCF of 6304 and 6312 is 8

Greatest Common Factor of 6304 and 6312 by matching factors method

Factors of 6304

List of positive integer factors of 6304 that divides 6304 without a remainder.

1,2,4,8,16,32,197,394,788,1576,3152,6304

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

Greatest Common Factor

We found the factors and prime factorization of 6304 and 6312. The biggest common factor number is the GCF number.
So the greatest common factor 6304 and 6312 is 8.

Also check out the Least Common Multiple of 6304 and 6312

Properties of GCF 6304 and 6312

(i) The GCF of 6304 and 6312 is associative

GCF of 6304 and 6312 = GCF of 6312 and 6304

Related Greatest Common Factor of 6304

Related Greatest Common Factor of 6312

Frequently Asked Questions on GCF of 6304 and 6312

1. What is the GCF of 6304 and 6312?

Answer: GCF of 6304 and 6312 is 8.

2. What are the Factors of 6304?

Answer: Factors of 6304 are 1, 2, 4, 8, 16, 32, 197, 394, 788, 1576, 3152, 6304. There are 12 integers that are factors of 6304. The greatest factor of 6304 is 6304.

3. 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.

4. How to Find the GCF of 6304 and 6312?

Answer:

Greatest Common Factor of 6304 and 6312 = 8

Step 1: Find the prime factorization of 6304

6304 = 2 x 2 x 2 x 2 x 2 x 197

Step 2: Find the prime factorization of 6312

6312 = 2 x 2 x 2 x 3 x 263

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 6304 and 6312 is 8