Greatest Common Factor of 12200 and 12205

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 12200, 12205 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12200 and 12205 is 5.

GCF(12200,12205) = 5

GCF of 12200 and 12205

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

GCF of:
and

Greatest Common Factor of 12200 and 12205

GCF of 12200 and 12205 is 5

Prime Factorization of 12200


2 12200
2 6100
2 3050
5 1525
5 305
61 61
1

Prime factors of 12200 are 2,5,61. Prime factorization of 12200 in exponential form is:

12200 = 23×52×611

Prime Factorization of 12205


5 12205
2441 2441
1

Prime factors of 12205 are 5,2441. Prime factorization of 12205 in exponential form is:

12205 = 51×24411

∴ So by taking common prime factors GCF of 12200 and 12205 is 5

Greatest Common Factor of 12200 and 12205 by matching factors method

Factors of 12200

List of positive integer factors of 12200 that divides 12200 without a remainder.

1,2,4,5,8,10,20,25,40,50,61,100,122,200,244,305,488,610,1220,1525,2440,3050,6100,12200

Factors of 12205

List of positive integer factors of 12205 that divides 12205 without a remainder.

1,5,2441,12205

Greatest Common Factor

We found the factors and prime factorization of 12200 and 12205. The biggest common factor number is the GCF number.
So the greatest common factor 12200 and 12205 is 5.

Also check out the Least Common Multiple of 12200 and 12205

Properties of GCF 12200 and 12205

(i) The GCF of 12200 and 12205 is associative

GCF of 12200 and 12205 = GCF of 12205 and 12200

Related Greatest Common Factor of 12200

Related Greatest Common Factor of 12205

Frequently Asked Questions on GCF of 12200 and 12205

1. What is the GCF of 12200 and 12205?

Answer: GCF of 12200 and 12205 is 5.

2. What are the Factors of 12200?

Answer: Factors of 12200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 61, 100, 122, 200, 244, 305, 488, 610, 1220, 1525, 2440, 3050, 6100, 12200. There are 24 integers that are factors of 12200. The greatest factor of 12200 is 12200.

3. What are the Factors of 12205?

Answer: Factors of 12205 are 1, 5, 2441, 12205. There are 4 integers that are factors of 12205. The greatest factor of 12205 is 12205.

4. How to Find the GCF of 12200 and 12205?

Answer:

Greatest Common Factor of 12200 and 12205 = 5

Step 1: Find the prime factorization of 12200

12200 = 2 x 2 x 2 x 5 x 5 x 61

Step 2: Find the prime factorization of 12205

12205 = 5 x 2441

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 12200 and 12205 is 5