Greatest Common Factor of 4341 and 4347

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 4341, 4347 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4341 and 4347 is 3.

GCF(4341,4347) = 3

GCF of 4341 and 4347

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

GCF of:
and

Greatest Common Factor of 4341 and 4347

GCF of 4341 and 4347 is 3

Prime Factorization of 4341


3 4341
1447 1447
1

Prime factors of 4341 are 3,1447. Prime factorization of 4341 in exponential form is:

4341 = 31×14471

Prime Factorization of 4347


3 4347
3 1449
3 483
7 161
23 23
1

Prime factors of 4347 are 3,7,23. Prime factorization of 4347 in exponential form is:

4347 = 33×71×231

∴ So by taking common prime factors GCF of 4341 and 4347 is 3

Greatest Common Factor of 4341 and 4347 by matching factors method

Factors of 4341

List of positive integer factors of 4341 that divides 4341 without a remainder.

1,3,1447,4341

Factors of 4347

List of positive integer factors of 4347 that divides 4347 without a remainder.

1,3,7,9,21,23,27,63,69,161,189,207,483,621,1449,4347

Greatest Common Factor

We found the factors and prime factorization of 4341 and 4347. The biggest common factor number is the GCF number.
So the greatest common factor 4341 and 4347 is 3.

Also check out the Least Common Multiple of 4341 and 4347

Properties of GCF 4341 and 4347

(i) The GCF of 4341 and 4347 is associative

GCF of 4341 and 4347 = GCF of 4347 and 4341

Related Greatest Common Factor of 4341

Related Greatest Common Factor of 4347

Frequently Asked Questions on GCF of 4341 and 4347

1. What is the GCF of 4341 and 4347?

Answer: GCF of 4341 and 4347 is 3.

2. What are the Factors of 4341?

Answer: Factors of 4341 are 1, 3, 1447, 4341. There are 4 integers that are factors of 4341. The greatest factor of 4341 is 4341.

3. What are the Factors of 4347?

Answer: Factors of 4347 are 1, 3, 7, 9, 21, 23, 27, 63, 69, 161, 189, 207, 483, 621, 1449, 4347. There are 16 integers that are factors of 4347. The greatest factor of 4347 is 4347.

4. How to Find the GCF of 4341 and 4347?

Answer:

Greatest Common Factor of 4341 and 4347 = 3

Step 1: Find the prime factorization of 4341

4341 = 3 x 1447

Step 2: Find the prime factorization of 4347

4347 = 3 x 3 x 3 x 7 x 23

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 4341 and 4347 is 3