Greatest Common Factor of 6309 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 6309, 6316 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6309 and 6316 is 1.

GCF(6309,6316) = 1

GCF of 6309 and 6316

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

GCF of:
and

Greatest Common Factor of 6309 and 6316

GCF of 6309 and 6316 is 1

Prime Factorization of 6309


3 6309
3 2103
701 701
1

Prime factors of 6309 are 3,701. Prime factorization of 6309 in exponential form is:

6309 = 32×7011

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 6309 and 6316 is 1

Greatest Common Factor of 6309 and 6316 by matching factors method

Factors of 6309

List of positive integer factors of 6309 that divides 6309 without a remainder.

1,3,9,701,2103,6309

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 6309 and 6316. The biggest common factor number is the GCF number.
So the greatest common factor 6309 and 6316 is 1.

Also check out the Least Common Multiple of 6309 and 6316

Properties of GCF 6309 and 6316

(i) The GCF of 6309 and 6316 is associative

GCF of 6309 and 6316 = GCF of 6316 and 6309

Related Greatest Common Factor of 6309

Related Greatest Common Factor of 6316

Frequently Asked Questions on GCF of 6309 and 6316

1. What is the GCF of 6309 and 6316?

Answer: GCF of 6309 and 6316 is 1.

2. What are the Factors of 6309?

Answer: Factors of 6309 are 1, 3, 9, 701, 2103, 6309. There are 6 integers that are factors of 6309. The greatest factor of 6309 is 6309.

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 6309 and 6316?

Answer:

Greatest Common Factor of 6309 and 6316 = 1

Step 1: Find the prime factorization of 6309

6309 = 3 x 3 x 701

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 = = 1

Step 4: Therefore, the greatest common factor of 6309 and 6316 is 1