Greatest Common Factor of 11400 and 11405

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 11400, 11405 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11400 and 11405 is 5.

GCF(11400,11405) = 5

GCF of 11400 and 11405

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

GCF of:
and

Greatest Common Factor of 11400 and 11405

GCF of 11400 and 11405 is 5

Prime Factorization of 11400


2 11400
2 5700
2 2850
3 1425
5 475
5 95
19 19
1

Prime factors of 11400 are 2,3,5,19. Prime factorization of 11400 in exponential form is:

11400 = 23×31×52×191

Prime Factorization of 11405


5 11405
2281 2281
1

Prime factors of 11405 are 5,2281. Prime factorization of 11405 in exponential form is:

11405 = 51×22811

∴ So by taking common prime factors GCF of 11400 and 11405 is 5

Greatest Common Factor of 11400 and 11405 by matching factors method

Factors of 11400

List of positive integer factors of 11400 that divides 11400 without a remainder.

1,2,3,4,5,6,8,10,12,15,19,20,24,25,30,38,40,50,57,60,75,76,95,100,114,120,150,152,190,200,228,285,300,380,456,475,570,600,760,950,1140,1425,1900,2280,2850,3800,5700,11400

Factors of 11405

List of positive integer factors of 11405 that divides 11405 without a remainder.

1,5,2281,11405

Greatest Common Factor

We found the factors and prime factorization of 11400 and 11405. The biggest common factor number is the GCF number.
So the greatest common factor 11400 and 11405 is 5.

Also check out the Least Common Multiple of 11400 and 11405

Properties of GCF 11400 and 11405

(i) The GCF of 11400 and 11405 is associative

GCF of 11400 and 11405 = GCF of 11405 and 11400

Related Greatest Common Factor of 11400

Related Greatest Common Factor of 11405

Frequently Asked Questions on GCF of 11400 and 11405

1. What is the GCF of 11400 and 11405?

Answer: GCF of 11400 and 11405 is 5.

2. What are the Factors of 11400?

Answer: Factors of 11400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 25, 30, 38, 40, 50, 57, 60, 75, 76, 95, 100, 114, 120, 150, 152, 190, 200, 228, 285, 300, 380, 456, 475, 570, 600, 760, 950, 1140, 1425, 1900, 2280, 2850, 3800, 5700, 11400. There are 48 integers that are factors of 11400. The greatest factor of 11400 is 11400.

3. What are the Factors of 11405?

Answer: Factors of 11405 are 1, 5, 2281, 11405. There are 4 integers that are factors of 11405. The greatest factor of 11405 is 11405.

4. How to Find the GCF of 11400 and 11405?

Answer:

Greatest Common Factor of 11400 and 11405 = 5

Step 1: Find the prime factorization of 11400

11400 = 2 x 2 x 2 x 3 x 5 x 5 x 19

Step 2: Find the prime factorization of 11405

11405 = 5 x 2281

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

GCF = 5

Step 4: Therefore, the greatest common factor of 11400 and 11405 is 5