Greatest Common Factor of 4329 and 4335

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 4329, 4335 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4329 and 4335 is 3.

GCF(4329,4335) = 3

GCF of 4329 and 4335

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

GCF of:
and

Greatest Common Factor of 4329 and 4335

GCF of 4329 and 4335 is 3

Prime Factorization of 4329


3 4329
3 1443
13 481
37 37
1

Prime factors of 4329 are 3,13,37. Prime factorization of 4329 in exponential form is:

4329 = 32×131×371

Prime Factorization of 4335


3 4335
5 1445
17 289
17 17
1

Prime factors of 4335 are 3,5,17. Prime factorization of 4335 in exponential form is:

4335 = 31×51×172

∴ So by taking common prime factors GCF of 4329 and 4335 is 3

Greatest Common Factor of 4329 and 4335 by matching factors method

Factors of 4329

List of positive integer factors of 4329 that divides 4329 without a remainder.

1,3,9,13,37,39,111,117,333,481,1443,4329

Factors of 4335

List of positive integer factors of 4335 that divides 4335 without a remainder.

1,3,5,15,17,51,85,255,289,867,1445,4335

Greatest Common Factor

We found the factors and prime factorization of 4329 and 4335. The biggest common factor number is the GCF number.
So the greatest common factor 4329 and 4335 is 3.

Also check out the Least Common Multiple of 4329 and 4335

Properties of GCF 4329 and 4335

(i) The GCF of 4329 and 4335 is associative

GCF of 4329 and 4335 = GCF of 4335 and 4329

Related Greatest Common Factor of 4329

Related Greatest Common Factor of 4335

Frequently Asked Questions on GCF of 4329 and 4335

1. What is the GCF of 4329 and 4335?

Answer: GCF of 4329 and 4335 is 3.

2. What are the Factors of 4329?

Answer: Factors of 4329 are 1, 3, 9, 13, 37, 39, 111, 117, 333, 481, 1443, 4329. There are 12 integers that are factors of 4329. The greatest factor of 4329 is 4329.

3. What are the Factors of 4335?

Answer: Factors of 4335 are 1, 3, 5, 15, 17, 51, 85, 255, 289, 867, 1445, 4335. There are 12 integers that are factors of 4335. The greatest factor of 4335 is 4335.

4. How to Find the GCF of 4329 and 4335?

Answer:

Greatest Common Factor of 4329 and 4335 = 3

Step 1: Find the prime factorization of 4329

4329 = 3 x 3 x 13 x 37

Step 2: Find the prime factorization of 4335

4335 = 3 x 5 x 17 x 17

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 4329 and 4335 is 3