Greatest Common Factor of 4330 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 4330, 4335 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4330 and 4335 is 5.

GCF(4330,4335) = 5

GCF of 4330 and 4335

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

GCF of:
and

Greatest Common Factor of 4330 and 4335

GCF of 4330 and 4335 is 5

Prime Factorization of 4330


2 4330
5 2165
433 433
1

Prime factors of 4330 are 2,5,433. Prime factorization of 4330 in exponential form is:

4330 = 21×51×4331

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 4330 and 4335 is 5

Greatest Common Factor of 4330 and 4335 by matching factors method

Factors of 4330

List of positive integer factors of 4330 that divides 4330 without a remainder.

1,2,5,10,433,866,2165,4330

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 4330 and 4335. The biggest common factor number is the GCF number.
So the greatest common factor 4330 and 4335 is 5.

Also check out the Least Common Multiple of 4330 and 4335

Properties of GCF 4330 and 4335

(i) The GCF of 4330 and 4335 is associative

GCF of 4330 and 4335 = GCF of 4335 and 4330

Related Greatest Common Factor of 4330

Related Greatest Common Factor of 4335

Frequently Asked Questions on GCF of 4330 and 4335

1. What is the GCF of 4330 and 4335?

Answer: GCF of 4330 and 4335 is 5.

2. What are the Factors of 4330?

Answer: Factors of 4330 are 1, 2, 5, 10, 433, 866, 2165, 4330. There are 8 integers that are factors of 4330. The greatest factor of 4330 is 4330.

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 4330 and 4335?

Answer:

Greatest Common Factor of 4330 and 4335 = 5

Step 1: Find the prime factorization of 4330

4330 = 2 x 5 x 433

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 = 5

Step 4: Therefore, the greatest common factor of 4330 and 4335 is 5