Greatest Common Factor of 6312 and 6316

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, 6316 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6312 and 6316 is 4.

GCF(6312,6316) = 4

GCF of 6312 and 6316

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

GCF of:
and

Greatest Common Factor of 6312 and 6316

GCF of 6312 and 6316 is 4

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 6316


2 6316
2 3158
1579 1579
1

Prime factors of 6316 are 2,1579. Prime factorization of 6316 in exponential form is:

6316 = 22×15791

∴ So by taking common prime factors GCF of 6312 and 6316 is 4

Greatest Common Factor of 6312 and 6316 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 6316

List of positive integer factors of 6316 that divides 6316 without a remainder.

1,2,4,1579,3158,6316

Greatest Common Factor

We found the factors and prime factorization of 6312 and 6316. The biggest common factor number is the GCF number.
So the greatest common factor 6312 and 6316 is 4.

Also check out the Least Common Multiple of 6312 and 6316

Properties of GCF 6312 and 6316

(i) The GCF of 6312 and 6316 is associative

GCF of 6312 and 6316 = GCF of 6316 and 6312

Related Greatest Common Factor of 6312

Related Greatest Common Factor of 6316

Frequently Asked Questions on GCF of 6312 and 6316

1. What is the GCF of 6312 and 6316?

Answer: GCF of 6312 and 6316 is 4.

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 6316?

Answer: Factors of 6316 are 1, 2, 4, 1579, 3158, 6316. There are 6 integers that are factors of 6316. The greatest factor of 6316 is 6316.

4. How to Find the GCF of 6312 and 6316?

Answer:

Greatest Common Factor of 6312 and 6316 = 4

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 6316

6316 = 2 x 2 x 1579

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 6312 and 6316 is 4