Greatest Common Factor of 13192 and 13200

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 13192, 13200 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13192 and 13200 is 8.

GCF(13192,13200) = 8

GCF of 13192 and 13200

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

GCF of:
and

Greatest Common Factor of 13192 and 13200

GCF of 13192 and 13200 is 8

Prime Factorization of 13192


2 13192
2 6596
2 3298
17 1649
97 97
1

Prime factors of 13192 are 2,17,97. Prime factorization of 13192 in exponential form is:

13192 = 23×171×971

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

∴ So by taking common prime factors GCF of 13192 and 13200 is 8

Greatest Common Factor of 13192 and 13200 by matching factors method

Factors of 13192

List of positive integer factors of 13192 that divides 13192 without a remainder.

1,2,4,8,17,34,68,97,136,194,388,776,1649,3298,6596,13192

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

Greatest Common Factor

We found the factors and prime factorization of 13192 and 13200. The biggest common factor number is the GCF number.
So the greatest common factor 13192 and 13200 is 8.

Also check out the Least Common Multiple of 13192 and 13200

Properties of GCF 13192 and 13200

(i) The GCF of 13192 and 13200 is associative

GCF of 13192 and 13200 = GCF of 13200 and 13192

Related Greatest Common Factor of 13192

Related Greatest Common Factor of 13200

Frequently Asked Questions on GCF of 13192 and 13200

1. What is the GCF of 13192 and 13200?

Answer: GCF of 13192 and 13200 is 8.

2. What are the Factors of 13192?

Answer: Factors of 13192 are 1, 2, 4, 8, 17, 34, 68, 97, 136, 194, 388, 776, 1649, 3298, 6596, 13192. There are 16 integers that are factors of 13192. The greatest factor of 13192 is 13192.

3. 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.

4. How to Find the GCF of 13192 and 13200?

Answer:

Greatest Common Factor of 13192 and 13200 = 8

Step 1: Find the prime factorization of 13192

13192 = 2 x 2 x 2 x 17 x 97

Step 2: Find the prime factorization of 13200

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

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 13192 and 13200 is 8