Greatest Common Factor of 5400 and 5406

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 5400, 5406 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5400 and 5406 is 6.

GCF(5400,5406) = 6

GCF of 5400 and 5406

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

GCF of:
and

Greatest Common Factor of 5400 and 5406

GCF of 5400 and 5406 is 6

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

Prime Factorization of 5406


2 5406
3 2703
17 901
53 53
1

Prime factors of 5406 are 2,3,17,53. Prime factorization of 5406 in exponential form is:

5406 = 21×31×171×531

∴ So by taking common prime factors GCF of 5400 and 5406 is 6

Greatest Common Factor of 5400 and 5406 by matching factors method

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

Factors of 5406

List of positive integer factors of 5406 that divides 5406 without a remainder.

1,2,3,6,17,34,51,53,102,106,159,318,901,1802,2703,5406

Greatest Common Factor

We found the factors and prime factorization of 5400 and 5406. The biggest common factor number is the GCF number.
So the greatest common factor 5400 and 5406 is 6.

Also check out the Least Common Multiple of 5400 and 5406

Properties of GCF 5400 and 5406

(i) The GCF of 5400 and 5406 is associative

GCF of 5400 and 5406 = GCF of 5406 and 5400

Related Greatest Common Factor of 5400

Related Greatest Common Factor of 5406

Frequently Asked Questions on GCF of 5400 and 5406

1. What is the GCF of 5400 and 5406?

Answer: GCF of 5400 and 5406 is 6.

2. 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.

3. What are the Factors of 5406?

Answer: Factors of 5406 are 1, 2, 3, 6, 17, 34, 51, 53, 102, 106, 159, 318, 901, 1802, 2703, 5406. There are 16 integers that are factors of 5406. The greatest factor of 5406 is 5406.

4. How to Find the GCF of 5400 and 5406?

Answer:

Greatest Common Factor of 5400 and 5406 = 6

Step 1: Find the prime factorization of 5400

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

Step 2: Find the prime factorization of 5406

5406 = 2 x 3 x 17 x 53

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 5400 and 5406 is 6