Greatest Common Factor of 5394 and 5400

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 5394, 5400 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5394 and 5400 is 6.

GCF(5394,5400) = 6

GCF of 5394 and 5400

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

GCF of:
and

Greatest Common Factor of 5394 and 5400

GCF of 5394 and 5400 is 6

Prime Factorization of 5394


2 5394
3 2697
29 899
31 31
1

Prime factors of 5394 are 2,3,29,31. Prime factorization of 5394 in exponential form is:

5394 = 21×31×291×311

Prime Factorization of 5400


2 5400
2 2700
2 1350
3 675
3 225
3 75
5 25
5 5
1

Prime factors of 5400 are 2,3,5. Prime factorization of 5400 in exponential form is:

5400 = 23×33×52

∴ So by taking common prime factors GCF of 5394 and 5400 is 6

Greatest Common Factor of 5394 and 5400 by matching factors method

Factors of 5394

List of positive integer factors of 5394 that divides 5394 without a remainder.

1,2,3,6,29,31,58,62,87,93,174,186,899,1798,2697,5394

Factors of 5400

List of positive integer factors of 5400 that divides 5400 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,27,30,36,40,45,50,54,60,72,75,90,100,108,120,135,150,180,200,216,225,270,300,360,450,540,600,675,900,1080,1350,1800,2700,5400

Greatest Common Factor

We found the factors and prime factorization of 5394 and 5400. The biggest common factor number is the GCF number.
So the greatest common factor 5394 and 5400 is 6.

Also check out the Least Common Multiple of 5394 and 5400

Properties of GCF 5394 and 5400

(i) The GCF of 5394 and 5400 is associative

GCF of 5394 and 5400 = GCF of 5400 and 5394

Related Greatest Common Factor of 5394

Related Greatest Common Factor of 5400

Frequently Asked Questions on GCF of 5394 and 5400

1. What is the GCF of 5394 and 5400?

Answer: GCF of 5394 and 5400 is 6.

2. What are the Factors of 5394?

Answer: Factors of 5394 are 1, 2, 3, 6, 29, 31, 58, 62, 87, 93, 174, 186, 899, 1798, 2697, 5394. There are 16 integers that are factors of 5394. The greatest factor of 5394 is 5394.

3. What are the Factors of 5400?

Answer: Factors of 5400 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400. There are 48 integers that are factors of 5400. The greatest factor of 5400 is 5400.

4. How to Find the GCF of 5394 and 5400?

Answer:

Greatest Common Factor of 5394 and 5400 = 6

Step 1: Find the prime factorization of 5394

5394 = 2 x 3 x 29 x 31

Step 2: Find the prime factorization of 5400

5400 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 5394 and 5400 is 6