Greatest Common Factor of 4335 and 4341

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 4335, 4341 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4335 and 4341 is 3.

GCF(4335,4341) = 3

GCF of 4335 and 4341

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

GCF of:
and

Greatest Common Factor of 4335 and 4341

GCF of 4335 and 4341 is 3

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

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

∴ So by taking common prime factors GCF of 4335 and 4341 is 3

Greatest Common Factor of 4335 and 4341 by matching factors method

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

Factors of 4341

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

1,3,1447,4341

Greatest Common Factor

We found the factors and prime factorization of 4335 and 4341. The biggest common factor number is the GCF number.
So the greatest common factor 4335 and 4341 is 3.

Also check out the Least Common Multiple of 4335 and 4341

Properties of GCF 4335 and 4341

(i) The GCF of 4335 and 4341 is associative

GCF of 4335 and 4341 = GCF of 4341 and 4335

Related Greatest Common Factor of 4335

Related Greatest Common Factor of 4341

Frequently Asked Questions on GCF of 4335 and 4341

1. What is the GCF of 4335 and 4341?

Answer: GCF of 4335 and 4341 is 3.

2. 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.

3. 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.

4. How to Find the GCF of 4335 and 4341?

Answer:

Greatest Common Factor of 4335 and 4341 = 3

Step 1: Find the prime factorization of 4335

4335 = 3 x 5 x 17 x 17

Step 2: Find the prime factorization of 4341

4341 = 3 x 1447

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 4335 and 4341 is 3