Greatest Common Factor of 13200 and 13204

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 13200, 13204 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13200 and 13204 is 4.

GCF(13200,13204) = 4

GCF of 13200 and 13204

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

GCF of:
and

Greatest Common Factor of 13200 and 13204

GCF of 13200 and 13204 is 4

Prime Factorization of 13200


2 13200
2 6600
2 3300
2 1650
3 825
5 275
5 55
11 11
1

Prime factors of 13200 are 2,3,5,11. Prime factorization of 13200 in exponential form is:

13200 = 24×31×52×111

Prime Factorization of 13204


2 13204
2 6602
3301 3301
1

Prime factors of 13204 are 2,3301. Prime factorization of 13204 in exponential form is:

13204 = 22×33011

∴ So by taking common prime factors GCF of 13200 and 13204 is 4

Greatest Common Factor of 13200 and 13204 by matching factors method

Factors of 13200

List of positive integer factors of 13200 that divides 13200 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,25,30,33,40,44,48,50,55,60,66,75,80,88,100,110,120,132,150,165,176,200,220,240,264,275,300,330,400,440,528,550,600,660,825,880,1100,1200,1320,1650,2200,2640,3300,4400,6600,13200

Factors of 13204

List of positive integer factors of 13204 that divides 13204 without a remainder.

1,2,4,3301,6602,13204

Greatest Common Factor

We found the factors and prime factorization of 13200 and 13204. The biggest common factor number is the GCF number.
So the greatest common factor 13200 and 13204 is 4.

Also check out the Least Common Multiple of 13200 and 13204

Properties of GCF 13200 and 13204

(i) The GCF of 13200 and 13204 is associative

GCF of 13200 and 13204 = GCF of 13204 and 13200

Related Greatest Common Factor of 13200

Related Greatest Common Factor of 13204

Frequently Asked Questions on GCF of 13200 and 13204

1. What is the GCF of 13200 and 13204?

Answer: GCF of 13200 and 13204 is 4.

2. What are the Factors of 13200?

Answer: Factors of 13200 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 25, 30, 33, 40, 44, 48, 50, 55, 60, 66, 75, 80, 88, 100, 110, 120, 132, 150, 165, 176, 200, 220, 240, 264, 275, 300, 330, 400, 440, 528, 550, 600, 660, 825, 880, 1100, 1200, 1320, 1650, 2200, 2640, 3300, 4400, 6600, 13200. There are 60 integers that are factors of 13200. The greatest factor of 13200 is 13200.

3. What are the Factors of 13204?

Answer: Factors of 13204 are 1, 2, 4, 3301, 6602, 13204. There are 6 integers that are factors of 13204. The greatest factor of 13204 is 13204.

4. How to Find the GCF of 13200 and 13204?

Answer:

Greatest Common Factor of 13200 and 13204 = 4

Step 1: Find the prime factorization of 13200

13200 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 11

Step 2: Find the prime factorization of 13204

13204 = 2 x 2 x 3301

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 13200 and 13204 is 4