Greatest Common Factor of 4335 and 4340

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, 4340 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4335 and 4340 is 5.

GCF(4335,4340) = 5

GCF of 4335 and 4340

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

GCF of:
and

Greatest Common Factor of 4335 and 4340

GCF of 4335 and 4340 is 5

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 4340


2 4340
2 2170
5 1085
7 217
31 31
1

Prime factors of 4340 are 2,5,7,31. Prime factorization of 4340 in exponential form is:

4340 = 22×51×71×311

∴ So by taking common prime factors GCF of 4335 and 4340 is 5

Greatest Common Factor of 4335 and 4340 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 4340

List of positive integer factors of 4340 that divides 4340 without a remainder.

1,2,4,5,7,10,14,20,28,31,35,62,70,124,140,155,217,310,434,620,868,1085,2170,4340

Greatest Common Factor

We found the factors and prime factorization of 4335 and 4340. The biggest common factor number is the GCF number.
So the greatest common factor 4335 and 4340 is 5.

Also check out the Least Common Multiple of 4335 and 4340

Properties of GCF 4335 and 4340

(i) The GCF of 4335 and 4340 is associative

GCF of 4335 and 4340 = GCF of 4340 and 4335

Related Greatest Common Factor of 4335

Related Greatest Common Factor of 4340

Frequently Asked Questions on GCF of 4335 and 4340

1. What is the GCF of 4335 and 4340?

Answer: GCF of 4335 and 4340 is 5.

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 4340?

Answer: Factors of 4340 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 31, 35, 62, 70, 124, 140, 155, 217, 310, 434, 620, 868, 1085, 2170, 4340. There are 24 integers that are factors of 4340. The greatest factor of 4340 is 4340.

4. How to Find the GCF of 4335 and 4340?

Answer:

Greatest Common Factor of 4335 and 4340 = 5

Step 1: Find the prime factorization of 4335

4335 = 3 x 5 x 17 x 17

Step 2: Find the prime factorization of 4340

4340 = 2 x 2 x 5 x 7 x 31

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 4335 and 4340 is 5