Greatest Common Factor of 1908 and 1911

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 1908, 1911 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1908 and 1911 is 3.

GCF(1908,1911) = 3

GCF of 1908 and 1911

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

GCF of:
and

Greatest Common Factor of 1908 and 1911

GCF of 1908 and 1911 is 3

Prime Factorization of 1908


2 1908
2 954
3 477
3 159
53 53
1

Prime factors of 1908 are 2,3,53. Prime factorization of 1908 in exponential form is:

1908 = 22×32×531

Prime Factorization of 1911


3 1911
7 637
7 91
13 13
1

Prime factors of 1911 are 3,7,13. Prime factorization of 1911 in exponential form is:

1911 = 31×72×131

∴ So by taking common prime factors GCF of 1908 and 1911 is 3

Greatest Common Factor of 1908 and 1911 by matching factors method

Factors of 1908

List of positive integer factors of 1908 that divides 1908 without a remainder.

1,2,3,4,6,9,12,18,36,53,106,159,212,318,477,636,954,1908

Factors of 1911

List of positive integer factors of 1911 that divides 1911 without a remainder.

1,3,7,13,21,39,49,91,147,273,637,1911

Greatest Common Factor

We found the factors and prime factorization of 1908 and 1911. The biggest common factor number is the GCF number.
So the greatest common factor 1908 and 1911 is 3.

Also check out the Least Common Multiple of 1908 and 1911

Properties of GCF 1908 and 1911

(i) The GCF of 1908 and 1911 is associative

GCF of 1908 and 1911 = GCF of 1911 and 1908

Related Greatest Common Factor of 1908

Related Greatest Common Factor of 1911

Frequently Asked Questions on GCF of 1908 and 1911

1. What is the GCF of 1908 and 1911?

Answer: GCF of 1908 and 1911 is 3.

2. What are the Factors of 1908?

Answer: Factors of 1908 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 53, 106, 159, 212, 318, 477, 636, 954, 1908. There are 18 integers that are factors of 1908. The greatest factor of 1908 is 1908.

3. What are the Factors of 1911?

Answer: Factors of 1911 are 1, 3, 7, 13, 21, 39, 49, 91, 147, 273, 637, 1911. There are 12 integers that are factors of 1911. The greatest factor of 1911 is 1911.

4. How to Find the GCF of 1908 and 1911?

Answer:

Greatest Common Factor of 1908 and 1911 = 3

Step 1: Find the prime factorization of 1908

1908 = 2 x 2 x 3 x 3 x 53

Step 2: Find the prime factorization of 1911

1911 = 3 x 7 x 7 x 13

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

GCF = 3

Step 4: Therefore, the greatest common factor of 1908 and 1911 is 3