Greatest Common Factor of 11400 and 11408

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, 11408 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11400 and 11408 is 8.

GCF(11400,11408) = 8

GCF of 11400 and 11408

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

GCF of:
and

Greatest Common Factor of 11400 and 11408

GCF of 11400 and 11408 is 8

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 11408


2 11408
2 5704
2 2852
2 1426
23 713
31 31
1

Prime factors of 11408 are 2,23,31. Prime factorization of 11408 in exponential form is:

11408 = 24×231×311

∴ So by taking common prime factors GCF of 11400 and 11408 is 8

Greatest Common Factor of 11400 and 11408 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 11408

List of positive integer factors of 11408 that divides 11408 without a remainder.

1,2,4,8,16,23,31,46,62,92,124,184,248,368,496,713,1426,2852,5704,11408

Greatest Common Factor

We found the factors and prime factorization of 11400 and 11408. The biggest common factor number is the GCF number.
So the greatest common factor 11400 and 11408 is 8.

Also check out the Least Common Multiple of 11400 and 11408

Properties of GCF 11400 and 11408

(i) The GCF of 11400 and 11408 is associative

GCF of 11400 and 11408 = GCF of 11408 and 11400

Related Greatest Common Factor of 11400

Related Greatest Common Factor of 11408

Frequently Asked Questions on GCF of 11400 and 11408

1. What is the GCF of 11400 and 11408?

Answer: GCF of 11400 and 11408 is 8.

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 11408?

Answer: Factors of 11408 are 1, 2, 4, 8, 16, 23, 31, 46, 62, 92, 124, 184, 248, 368, 496, 713, 1426, 2852, 5704, 11408. There are 20 integers that are factors of 11408. The greatest factor of 11408 is 11408.

4. How to Find the GCF of 11400 and 11408?

Answer:

Greatest Common Factor of 11400 and 11408 = 8

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 11408

11408 = 2 x 2 x 2 x 2 x 23 x 31

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 11400 and 11408 is 8