Greatest Common Factor of 6345 and 6351

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 6345, 6351 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6345 and 6351 is 3.

GCF(6345,6351) = 3

GCF of 6345 and 6351

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

GCF of:
and

Greatest Common Factor of 6345 and 6351

GCF of 6345 and 6351 is 3

Prime Factorization of 6345


3 6345
3 2115
3 705
5 235
47 47
1

Prime factors of 6345 are 3,5,47. Prime factorization of 6345 in exponential form is:

6345 = 33×51×471

Prime Factorization of 6351


3 6351
29 2117
73 73
1

Prime factors of 6351 are 3,29,73. Prime factorization of 6351 in exponential form is:

6351 = 31×291×731

∴ So by taking common prime factors GCF of 6345 and 6351 is 3

Greatest Common Factor of 6345 and 6351 by matching factors method

Factors of 6345

List of positive integer factors of 6345 that divides 6345 without a remainder.

1,3,5,9,15,27,45,47,135,141,235,423,705,1269,2115,6345

Factors of 6351

List of positive integer factors of 6351 that divides 6351 without a remainder.

1,3,29,73,87,219,2117,6351

Greatest Common Factor

We found the factors and prime factorization of 6345 and 6351. The biggest common factor number is the GCF number.
So the greatest common factor 6345 and 6351 is 3.

Also check out the Least Common Multiple of 6345 and 6351

Properties of GCF 6345 and 6351

(i) The GCF of 6345 and 6351 is associative

GCF of 6345 and 6351 = GCF of 6351 and 6345

Related Greatest Common Factor of 6345

Related Greatest Common Factor of 6351

Frequently Asked Questions on GCF of 6345 and 6351

1. What is the GCF of 6345 and 6351?

Answer: GCF of 6345 and 6351 is 3.

2. What are the Factors of 6345?

Answer: Factors of 6345 are 1, 3, 5, 9, 15, 27, 45, 47, 135, 141, 235, 423, 705, 1269, 2115, 6345. There are 16 integers that are factors of 6345. The greatest factor of 6345 is 6345.

3. What are the Factors of 6351?

Answer: Factors of 6351 are 1, 3, 29, 73, 87, 219, 2117, 6351. There are 8 integers that are factors of 6351. The greatest factor of 6351 is 6351.

4. How to Find the GCF of 6345 and 6351?

Answer:

Greatest Common Factor of 6345 and 6351 = 3

Step 1: Find the prime factorization of 6345

6345 = 3 x 3 x 3 x 5 x 47

Step 2: Find the prime factorization of 6351

6351 = 3 x 29 x 73

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

GCF = 3

Step 4: Therefore, the greatest common factor of 6345 and 6351 is 3