Greatest Common Factor of 4395 and 4400

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 4395, 4400 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4395 and 4400 is 5.

GCF(4395,4400) = 5

GCF of 4395 and 4400

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

GCF of:
and

Greatest Common Factor of 4395 and 4400

GCF of 4395 and 4400 is 5

Prime Factorization of 4395


3 4395
5 1465
293 293
1

Prime factors of 4395 are 3,5,293. Prime factorization of 4395 in exponential form is:

4395 = 31×51×2931

Prime Factorization of 4400


2 4400
2 2200
2 1100
2 550
5 275
5 55
11 11
1

Prime factors of 4400 are 2,5,11. Prime factorization of 4400 in exponential form is:

4400 = 24×52×111

∴ So by taking common prime factors GCF of 4395 and 4400 is 5

Greatest Common Factor of 4395 and 4400 by matching factors method

Factors of 4395

List of positive integer factors of 4395 that divides 4395 without a remainder.

1,3,5,15,293,879,1465,4395

Factors of 4400

List of positive integer factors of 4400 that divides 4400 without a remainder.

1,2,4,5,8,10,11,16,20,22,25,40,44,50,55,80,88,100,110,176,200,220,275,400,440,550,880,1100,2200,4400

Greatest Common Factor

We found the factors and prime factorization of 4395 and 4400. The biggest common factor number is the GCF number.
So the greatest common factor 4395 and 4400 is 5.

Also check out the Least Common Multiple of 4395 and 4400

Properties of GCF 4395 and 4400

(i) The GCF of 4395 and 4400 is associative

GCF of 4395 and 4400 = GCF of 4400 and 4395

Related Greatest Common Factor of 4395

Related Greatest Common Factor of 4400

Frequently Asked Questions on GCF of 4395 and 4400

1. What is the GCF of 4395 and 4400?

Answer: GCF of 4395 and 4400 is 5.

2. What are the Factors of 4395?

Answer: Factors of 4395 are 1, 3, 5, 15, 293, 879, 1465, 4395. There are 8 integers that are factors of 4395. The greatest factor of 4395 is 4395.

3. What are the Factors of 4400?

Answer: Factors of 4400 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, 4400. There are 30 integers that are factors of 4400. The greatest factor of 4400 is 4400.

4. How to Find the GCF of 4395 and 4400?

Answer:

Greatest Common Factor of 4395 and 4400 = 5

Step 1: Find the prime factorization of 4395

4395 = 3 x 5 x 293

Step 2: Find the prime factorization of 4400

4400 = 2 x 2 x 2 x 2 x 5 x 5 x 11

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 4395 and 4400 is 5