Greatest Common Factor of 4400 and 4404

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 4400, 4404 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4400 and 4404 is 4.

GCF(4400,4404) = 4

GCF of 4400 and 4404

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

GCF of:
and

Greatest Common Factor of 4400 and 4404

GCF of 4400 and 4404 is 4

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

Prime Factorization of 4404


2 4404
2 2202
3 1101
367 367
1

Prime factors of 4404 are 2,3,367. Prime factorization of 4404 in exponential form is:

4404 = 22×31×3671

∴ So by taking common prime factors GCF of 4400 and 4404 is 4

Greatest Common Factor of 4400 and 4404 by matching factors method

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

Factors of 4404

List of positive integer factors of 4404 that divides 4404 without a remainder.

1,2,3,4,6,12,367,734,1101,1468,2202,4404

Greatest Common Factor

We found the factors and prime factorization of 4400 and 4404. The biggest common factor number is the GCF number.
So the greatest common factor 4400 and 4404 is 4.

Also check out the Least Common Multiple of 4400 and 4404

Properties of GCF 4400 and 4404

(i) The GCF of 4400 and 4404 is associative

GCF of 4400 and 4404 = GCF of 4404 and 4400

Related Greatest Common Factor of 4400

Related Greatest Common Factor of 4404

Frequently Asked Questions on GCF of 4400 and 4404

1. What is the GCF of 4400 and 4404?

Answer: GCF of 4400 and 4404 is 4.

2. 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.

3. What are the Factors of 4404?

Answer: Factors of 4404 are 1, 2, 3, 4, 6, 12, 367, 734, 1101, 1468, 2202, 4404. There are 12 integers that are factors of 4404. The greatest factor of 4404 is 4404.

4. How to Find the GCF of 4400 and 4404?

Answer:

Greatest Common Factor of 4400 and 4404 = 4

Step 1: Find the prime factorization of 4400

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

Step 2: Find the prime factorization of 4404

4404 = 2 x 2 x 3 x 367

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4400 and 4404 is 4