Greatest Common Factor of 4400 and 4408

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, 4408 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4400 and 4408 is 8.

GCF(4400,4408) = 8

GCF of 4400 and 4408

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

GCF of:
and

Greatest Common Factor of 4400 and 4408

GCF of 4400 and 4408 is 8

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 4408


2 4408
2 2204
2 1102
19 551
29 29
1

Prime factors of 4408 are 2,19,29. Prime factorization of 4408 in exponential form is:

4408 = 23×191×291

∴ So by taking common prime factors GCF of 4400 and 4408 is 8

Greatest Common Factor of 4400 and 4408 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 4408

List of positive integer factors of 4408 that divides 4408 without a remainder.

1,2,4,8,19,29,38,58,76,116,152,232,551,1102,2204,4408

Greatest Common Factor

We found the factors and prime factorization of 4400 and 4408. The biggest common factor number is the GCF number.
So the greatest common factor 4400 and 4408 is 8.

Also check out the Least Common Multiple of 4400 and 4408

Properties of GCF 4400 and 4408

(i) The GCF of 4400 and 4408 is associative

GCF of 4400 and 4408 = GCF of 4408 and 4400

Related Greatest Common Factor of 4400

Related Greatest Common Factor of 4408

Frequently Asked Questions on GCF of 4400 and 4408

1. What is the GCF of 4400 and 4408?

Answer: GCF of 4400 and 4408 is 8.

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 4408?

Answer: Factors of 4408 are 1, 2, 4, 8, 19, 29, 38, 58, 76, 116, 152, 232, 551, 1102, 2204, 4408. There are 16 integers that are factors of 4408. The greatest factor of 4408 is 4408.

4. How to Find the GCF of 4400 and 4408?

Answer:

Greatest Common Factor of 4400 and 4408 = 8

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 4408

4408 = 2 x 2 x 2 x 19 x 29

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4400 and 4408 is 8