Greatest Common Factor of 6417 and 6423

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 6417, 6423 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6417 and 6423 is 3.

GCF(6417,6423) = 3

GCF of 6417 and 6423

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

GCF of:
and

Greatest Common Factor of 6417 and 6423

GCF of 6417 and 6423 is 3

Prime Factorization of 6417


3 6417
3 2139
23 713
31 31
1

Prime factors of 6417 are 3,23,31. Prime factorization of 6417 in exponential form is:

6417 = 32×231×311

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

∴ So by taking common prime factors GCF of 6417 and 6423 is 3

Greatest Common Factor of 6417 and 6423 by matching factors method

Factors of 6417

List of positive integer factors of 6417 that divides 6417 without a remainder.

1,3,9,23,31,69,93,207,279,713,2139,6417

Factors of 6423

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

1,3,2141,6423

Greatest Common Factor

We found the factors and prime factorization of 6417 and 6423. The biggest common factor number is the GCF number.
So the greatest common factor 6417 and 6423 is 3.

Also check out the Least Common Multiple of 6417 and 6423

Properties of GCF 6417 and 6423

(i) The GCF of 6417 and 6423 is associative

GCF of 6417 and 6423 = GCF of 6423 and 6417

Related Greatest Common Factor of 6417

Related Greatest Common Factor of 6423

Frequently Asked Questions on GCF of 6417 and 6423

1. What is the GCF of 6417 and 6423?

Answer: GCF of 6417 and 6423 is 3.

2. What are the Factors of 6417?

Answer: Factors of 6417 are 1, 3, 9, 23, 31, 69, 93, 207, 279, 713, 2139, 6417. There are 12 integers that are factors of 6417. The greatest factor of 6417 is 6417.

3. 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.

4. How to Find the GCF of 6417 and 6423?

Answer:

Greatest Common Factor of 6417 and 6423 = 3

Step 1: Find the prime factorization of 6417

6417 = 3 x 3 x 23 x 31

Step 2: Find the prime factorization of 6423

6423 = 3 x 2141

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 6417 and 6423 is 3