Greatest Common Factor of 13200 and 13203

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, 13203 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13200 and 13203 is 3.

GCF(13200,13203) = 3

GCF of 13200 and 13203

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

GCF of:
and

Greatest Common Factor of 13200 and 13203

GCF of 13200 and 13203 is 3

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 13203


3 13203
3 4401
3 1467
3 489
163 163
1

Prime factors of 13203 are 3,163. Prime factorization of 13203 in exponential form is:

13203 = 34×1631

∴ So by taking common prime factors GCF of 13200 and 13203 is 3

Greatest Common Factor of 13200 and 13203 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 13203

List of positive integer factors of 13203 that divides 13203 without a remainder.

1,3,9,27,81,163,489,1467,4401,13203

Greatest Common Factor

We found the factors and prime factorization of 13200 and 13203. The biggest common factor number is the GCF number.
So the greatest common factor 13200 and 13203 is 3.

Also check out the Least Common Multiple of 13200 and 13203

Properties of GCF 13200 and 13203

(i) The GCF of 13200 and 13203 is associative

GCF of 13200 and 13203 = GCF of 13203 and 13200

Related Greatest Common Factor of 13200

Related Greatest Common Factor of 13203

Frequently Asked Questions on GCF of 13200 and 13203

1. What is the GCF of 13200 and 13203?

Answer: GCF of 13200 and 13203 is 3.

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 13203?

Answer: Factors of 13203 are 1, 3, 9, 27, 81, 163, 489, 1467, 4401, 13203. There are 10 integers that are factors of 13203. The greatest factor of 13203 is 13203.

4. How to Find the GCF of 13200 and 13203?

Answer:

Greatest Common Factor of 13200 and 13203 = 3

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 13203

13203 = 3 x 3 x 3 x 3 x 163

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

GCF = 3

Step 4: Therefore, the greatest common factor of 13200 and 13203 is 3