Greatest Common Factor of 6314 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 6314, 6316 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6314 and 6316 is 2.

GCF(6314,6316) = 2

GCF of 6314 and 6316

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

GCF of:
and

Greatest Common Factor of 6314 and 6316

GCF of 6314 and 6316 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 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 6314 and 6316 is 2

Greatest Common Factor of 6314 and 6316 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 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 6314 and 6316. The biggest common factor number is the GCF number.
So the greatest common factor 6314 and 6316 is 2.

Also check out the Least Common Multiple of 6314 and 6316

Properties of GCF 6314 and 6316

(i) The GCF of 6314 and 6316 is associative

GCF of 6314 and 6316 = GCF of 6316 and 6314

Related Greatest Common Factor of 6314

Related Greatest Common Factor of 6316

Frequently Asked Questions on GCF of 6314 and 6316

1. What is the GCF of 6314 and 6316?

Answer: GCF of 6314 and 6316 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 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 6314 and 6316?

Answer:

Greatest Common Factor of 6314 and 6316 = 2

Step 1: Find the prime factorization of 6314

6314 = 2 x 7 x 11 x 41

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

Step 4: Therefore, the greatest common factor of 6314 and 6316 is 2