Greatest Common Factor of 4347 and 4350

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 4347, 4350 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4347 and 4350 is 3.

GCF(4347,4350) = 3

GCF of 4347 and 4350

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

GCF of:
and

Greatest Common Factor of 4347 and 4350

GCF of 4347 and 4350 is 3

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

Prime Factorization of 4350


2 4350
3 2175
5 725
5 145
29 29
1

Prime factors of 4350 are 2,3,5,29. Prime factorization of 4350 in exponential form is:

4350 = 21×31×52×291

∴ So by taking common prime factors GCF of 4347 and 4350 is 3

Greatest Common Factor of 4347 and 4350 by matching factors method

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

Factors of 4350

List of positive integer factors of 4350 that divides 4350 without a remainder.

1,2,3,5,6,10,15,25,29,30,50,58,75,87,145,150,174,290,435,725,870,1450,2175,4350

Greatest Common Factor

We found the factors and prime factorization of 4347 and 4350. The biggest common factor number is the GCF number.
So the greatest common factor 4347 and 4350 is 3.

Also check out the Least Common Multiple of 4347 and 4350

Properties of GCF 4347 and 4350

(i) The GCF of 4347 and 4350 is associative

GCF of 4347 and 4350 = GCF of 4350 and 4347

Related Greatest Common Factor of 4347

Related Greatest Common Factor of 4350

Frequently Asked Questions on GCF of 4347 and 4350

1. What is the GCF of 4347 and 4350?

Answer: GCF of 4347 and 4350 is 3.

2. 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.

3. What are the Factors of 4350?

Answer: Factors of 4350 are 1, 2, 3, 5, 6, 10, 15, 25, 29, 30, 50, 58, 75, 87, 145, 150, 174, 290, 435, 725, 870, 1450, 2175, 4350. There are 24 integers that are factors of 4350. The greatest factor of 4350 is 4350.

4. How to Find the GCF of 4347 and 4350?

Answer:

Greatest Common Factor of 4347 and 4350 = 3

Step 1: Find the prime factorization of 4347

4347 = 3 x 3 x 3 x 7 x 23

Step 2: Find the prime factorization of 4350

4350 = 2 x 3 x 5 x 5 x 29

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 4347 and 4350 is 3