Greatest Common Factor of 6345 and 6353

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, 6353 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6345 and 6353 is 1.

GCF(6345,6353) = 1

GCF of 6345 and 6353

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

GCF of:
and

Greatest Common Factor of 6345 and 6353

GCF of 6345 and 6353 is 1

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 6353


6353 6353
1

Prime factors of 6353 are 6353. Prime factorization of 6353 in exponential form is:

6353 = 63531

∴ So by taking common prime factors GCF of 6345 and 6353 is 1

Greatest Common Factor of 6345 and 6353 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 6353

List of positive integer factors of 6353 that divides 6353 without a remainder.

1,6353

Greatest Common Factor

We found the factors and prime factorization of 6345 and 6353. The biggest common factor number is the GCF number.
So the greatest common factor 6345 and 6353 is 1.

Also check out the Least Common Multiple of 6345 and 6353

Properties of GCF 6345 and 6353

(i) The GCF of 6345 and 6353 is associative

GCF of 6345 and 6353 = GCF of 6353 and 6345

Related Greatest Common Factor of 6345

Related Greatest Common Factor of 6353

Frequently Asked Questions on GCF of 6345 and 6353

1. What is the GCF of 6345 and 6353?

Answer: GCF of 6345 and 6353 is 1.

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 6353?

Answer: Factors of 6353 are 1, 6353. There are 2 integers that are factors of 6353. The greatest factor of 6353 is 6353.

4. How to Find the GCF of 6345 and 6353?

Answer:

Greatest Common Factor of 6345 and 6353 = 1

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 6353

6353 = 6353

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 6345 and 6353 is 1