Greatest Common Factor of 4394 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 4394, 4400 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4394 and 4400 is 2.

GCF(4394,4400) = 2

GCF of 4394 and 4400

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

GCF of:
and

Greatest Common Factor of 4394 and 4400

GCF of 4394 and 4400 is 2

Prime Factorization of 4394


2 4394
13 2197
13 169
13 13
1

Prime factors of 4394 are 2,13. Prime factorization of 4394 in exponential form is:

4394 = 21×133

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 4394 and 4400 is 2

Greatest Common Factor of 4394 and 4400 by matching factors method

Factors of 4394

List of positive integer factors of 4394 that divides 4394 without a remainder.

1,2,13,26,169,338,2197,4394

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 4394 and 4400. The biggest common factor number is the GCF number.
So the greatest common factor 4394 and 4400 is 2.

Also check out the Least Common Multiple of 4394 and 4400

Properties of GCF 4394 and 4400

(i) The GCF of 4394 and 4400 is associative

GCF of 4394 and 4400 = GCF of 4400 and 4394

Related Greatest Common Factor of 4394

Related Greatest Common Factor of 4400

Frequently Asked Questions on GCF of 4394 and 4400

1. What is the GCF of 4394 and 4400?

Answer: GCF of 4394 and 4400 is 2.

2. What are the Factors of 4394?

Answer: Factors of 4394 are 1, 2, 13, 26, 169, 338, 2197, 4394. There are 8 integers that are factors of 4394. The greatest factor of 4394 is 4394.

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 4394 and 4400?

Answer:

Greatest Common Factor of 4394 and 4400 = 2

Step 1: Find the prime factorization of 4394

4394 = 2 x 13 x 13 x 13

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 = 2

Step 4: Therefore, the greatest common factor of 4394 and 4400 is 2