Greatest Common Factor of 6423 and 6429

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 6423, 6429 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6423 and 6429 is 3.

GCF(6423,6429) = 3

GCF of 6423 and 6429

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

GCF of:
and

Greatest Common Factor of 6423 and 6429

GCF of 6423 and 6429 is 3

Prime Factorization of 6423


3 6423
2141 2141
1

Prime factors of 6423 are 3,2141. Prime factorization of 6423 in exponential form is:

6423 = 31×21411

Prime Factorization of 6429


3 6429
2143 2143
1

Prime factors of 6429 are 3,2143. Prime factorization of 6429 in exponential form is:

6429 = 31×21431

∴ So by taking common prime factors GCF of 6423 and 6429 is 3

Greatest Common Factor of 6423 and 6429 by matching factors method

Factors of 6423

List of positive integer factors of 6423 that divides 6423 without a remainder.

1,3,2141,6423

Factors of 6429

List of positive integer factors of 6429 that divides 6429 without a remainder.

1,3,2143,6429

Greatest Common Factor

We found the factors and prime factorization of 6423 and 6429. The biggest common factor number is the GCF number.
So the greatest common factor 6423 and 6429 is 3.

Also check out the Least Common Multiple of 6423 and 6429

Properties of GCF 6423 and 6429

(i) The GCF of 6423 and 6429 is associative

GCF of 6423 and 6429 = GCF of 6429 and 6423

Related Greatest Common Factor of 6423

Related Greatest Common Factor of 6429

Frequently Asked Questions on GCF of 6423 and 6429

1. What is the GCF of 6423 and 6429?

Answer: GCF of 6423 and 6429 is 3.

2. What are the Factors of 6423?

Answer: Factors of 6423 are 1, 3, 2141, 6423. There are 4 integers that are factors of 6423. The greatest factor of 6423 is 6423.

3. What are the Factors of 6429?

Answer: Factors of 6429 are 1, 3, 2143, 6429. There are 4 integers that are factors of 6429. The greatest factor of 6429 is 6429.

4. How to Find the GCF of 6423 and 6429?

Answer:

Greatest Common Factor of 6423 and 6429 = 3

Step 1: Find the prime factorization of 6423

6423 = 3 x 2141

Step 2: Find the prime factorization of 6429

6429 = 3 x 2143

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 6423 and 6429 is 3