Greatest Common Factor of 12200 and 12208

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, 12208 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12200 and 12208 is 8.

GCF(12200,12208) = 8

GCF of 12200 and 12208

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

GCF of:
and

Greatest Common Factor of 12200 and 12208

GCF of 12200 and 12208 is 8

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 12208


2 12208
2 6104
2 3052
2 1526
7 763
109 109
1

Prime factors of 12208 are 2,7,109. Prime factorization of 12208 in exponential form is:

12208 = 24×71×1091

∴ So by taking common prime factors GCF of 12200 and 12208 is 8

Greatest Common Factor of 12200 and 12208 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 12208

List of positive integer factors of 12208 that divides 12208 without a remainder.

1,2,4,7,8,14,16,28,56,109,112,218,436,763,872,1526,1744,3052,6104,12208

Greatest Common Factor

We found the factors and prime factorization of 12200 and 12208. The biggest common factor number is the GCF number.
So the greatest common factor 12200 and 12208 is 8.

Also check out the Least Common Multiple of 12200 and 12208

Properties of GCF 12200 and 12208

(i) The GCF of 12200 and 12208 is associative

GCF of 12200 and 12208 = GCF of 12208 and 12200

Related Greatest Common Factor of 12200

Related Greatest Common Factor of 12208

Frequently Asked Questions on GCF of 12200 and 12208

1. What is the GCF of 12200 and 12208?

Answer: GCF of 12200 and 12208 is 8.

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 12208?

Answer: Factors of 12208 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 109, 112, 218, 436, 763, 872, 1526, 1744, 3052, 6104, 12208. There are 20 integers that are factors of 12208. The greatest factor of 12208 is 12208.

4. How to Find the GCF of 12200 and 12208?

Answer:

Greatest Common Factor of 12200 and 12208 = 8

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 12208

12208 = 2 x 2 x 2 x 2 x 7 x 109

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 12200 and 12208 is 8