Greatest Common Factor of 11900 and 11905

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 11900, 11905 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11900 and 11905 is 5.

GCF(11900,11905) = 5

GCF of 11900 and 11905

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

GCF of:
and

Greatest Common Factor of 11900 and 11905

GCF of 11900 and 11905 is 5

Prime Factorization of 11900


2 11900
2 5950
5 2975
5 595
7 119
17 17
1

Prime factors of 11900 are 2,5,7,17. Prime factorization of 11900 in exponential form is:

11900 = 22×52×71×171

Prime Factorization of 11905


5 11905
2381 2381
1

Prime factors of 11905 are 5,2381. Prime factorization of 11905 in exponential form is:

11905 = 51×23811

∴ So by taking common prime factors GCF of 11900 and 11905 is 5

Greatest Common Factor of 11900 and 11905 by matching factors method

Factors of 11900

List of positive integer factors of 11900 that divides 11900 without a remainder.

1,2,4,5,7,10,14,17,20,25,28,34,35,50,68,70,85,100,119,140,170,175,238,340,350,425,476,595,700,850,1190,1700,2380,2975,5950,11900

Factors of 11905

List of positive integer factors of 11905 that divides 11905 without a remainder.

1,5,2381,11905

Greatest Common Factor

We found the factors and prime factorization of 11900 and 11905. The biggest common factor number is the GCF number.
So the greatest common factor 11900 and 11905 is 5.

Also check out the Least Common Multiple of 11900 and 11905

Properties of GCF 11900 and 11905

(i) The GCF of 11900 and 11905 is associative

GCF of 11900 and 11905 = GCF of 11905 and 11900

Related Greatest Common Factor of 11900

Related Greatest Common Factor of 11905

Frequently Asked Questions on GCF of 11900 and 11905

1. What is the GCF of 11900 and 11905?

Answer: GCF of 11900 and 11905 is 5.

2. What are the Factors of 11900?

Answer: Factors of 11900 are 1, 2, 4, 5, 7, 10, 14, 17, 20, 25, 28, 34, 35, 50, 68, 70, 85, 100, 119, 140, 170, 175, 238, 340, 350, 425, 476, 595, 700, 850, 1190, 1700, 2380, 2975, 5950, 11900. There are 36 integers that are factors of 11900. The greatest factor of 11900 is 11900.

3. What are the Factors of 11905?

Answer: Factors of 11905 are 1, 5, 2381, 11905. There are 4 integers that are factors of 11905. The greatest factor of 11905 is 11905.

4. How to Find the GCF of 11900 and 11905?

Answer:

Greatest Common Factor of 11900 and 11905 = 5

Step 1: Find the prime factorization of 11900

11900 = 2 x 2 x 5 x 5 x 7 x 17

Step 2: Find the prime factorization of 11905

11905 = 5 x 2381

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 11900 and 11905 is 5