Greatest Common Factor of 12200 and 12201

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, 12201 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12200 and 12201 is 1.

GCF(12200,12201) = 1

GCF of 12200 and 12201

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

GCF of:
and

Greatest Common Factor of 12200 and 12201

GCF of 12200 and 12201 is 1

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 12201


3 12201
7 4067
7 581
83 83
1

Prime factors of 12201 are 3,7,83. Prime factorization of 12201 in exponential form is:

12201 = 31×72×831

∴ So by taking common prime factors GCF of 12200 and 12201 is 1

Greatest Common Factor of 12200 and 12201 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 12201

List of positive integer factors of 12201 that divides 12201 without a remainder.

1,3,7,21,49,83,147,249,581,1743,4067,12201

Greatest Common Factor

We found the factors and prime factorization of 12200 and 12201. The biggest common factor number is the GCF number.
So the greatest common factor 12200 and 12201 is 1.

Also check out the Least Common Multiple of 12200 and 12201

Properties of GCF 12200 and 12201

(i) The GCF of 12200 and 12201 is associative

GCF of 12200 and 12201 = GCF of 12201 and 12200

Related Greatest Common Factor of 12200

Related Greatest Common Factor of 12201

Frequently Asked Questions on GCF of 12200 and 12201

1. What is the GCF of 12200 and 12201?

Answer: GCF of 12200 and 12201 is 1.

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 12201?

Answer: Factors of 12201 are 1, 3, 7, 21, 49, 83, 147, 249, 581, 1743, 4067, 12201. There are 12 integers that are factors of 12201. The greatest factor of 12201 is 12201.

4. How to Find the GCF of 12200 and 12201?

Answer:

Greatest Common Factor of 12200 and 12201 = 1

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 12201

12201 = 3 x 7 x 7 x 83

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 12200 and 12201 is 1