Greatest Common Factor of 2200 and 2205

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 2200, 2205 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2200 and 2205 is 5.

GCF(2200,2205) = 5

GCF of 2200 and 2205

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

GCF of:
and

Greatest Common Factor of 2200 and 2205

GCF of 2200 and 2205 is 5

Prime Factorization of 2200


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

Prime factors of 2200 are 2,5,11. Prime factorization of 2200 in exponential form is:

2200 = 23×52×111

Prime Factorization of 2205


3 2205
3 735
5 245
7 49
7 7
1

Prime factors of 2205 are 3,5,7. Prime factorization of 2205 in exponential form is:

2205 = 32×51×72

∴ So by taking common prime factors GCF of 2200 and 2205 is 5

Greatest Common Factor of 2200 and 2205 by matching factors method

Factors of 2200

List of positive integer factors of 2200 that divides 2200 without a remainder.

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

Factors of 2205

List of positive integer factors of 2205 that divides 2205 without a remainder.

1,3,5,7,9,15,21,35,45,49,63,105,147,245,315,441,735,2205

Greatest Common Factor

We found the factors and prime factorization of 2200 and 2205. The biggest common factor number is the GCF number.
So the greatest common factor 2200 and 2205 is 5.

Also check out the Least Common Multiple of 2200 and 2205

Properties of GCF 2200 and 2205

(i) The GCF of 2200 and 2205 is associative

GCF of 2200 and 2205 = GCF of 2205 and 2200

Related Greatest Common Factor of 2200

Related Greatest Common Factor of 2205

Frequently Asked Questions on GCF of 2200 and 2205

1. What is the GCF of 2200 and 2205?

Answer: GCF of 2200 and 2205 is 5.

2. What are the Factors of 2200?

Answer: Factors of 2200 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 200, 220, 275, 440, 550, 1100, 2200. There are 24 integers that are factors of 2200. The greatest factor of 2200 is 2200.

3. What are the Factors of 2205?

Answer: Factors of 2205 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735, 2205. There are 18 integers that are factors of 2205. The greatest factor of 2205 is 2205.

4. How to Find the GCF of 2200 and 2205?

Answer:

Greatest Common Factor of 2200 and 2205 = 5

Step 1: Find the prime factorization of 2200

2200 = 2 x 2 x 2 x 5 x 5 x 11

Step 2: Find the prime factorization of 2205

2205 = 3 x 3 x 5 x 7 x 7

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 2200 and 2205 is 5