Greatest Common Factor of 1911 and 1918

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 1911, 1918 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1911 and 1918 is 7.

GCF(1911,1918) = 7

GCF of 1911 and 1918

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

GCF of:
and

Greatest Common Factor of 1911 and 1918

GCF of 1911 and 1918 is 7

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

Prime Factorization of 1918


2 1918
7 959
137 137
1

Prime factors of 1918 are 2,7,137. Prime factorization of 1918 in exponential form is:

1918 = 21×71×1371

∴ So by taking common prime factors GCF of 1911 and 1918 is 7

Greatest Common Factor of 1911 and 1918 by matching factors method

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

Factors of 1918

List of positive integer factors of 1918 that divides 1918 without a remainder.

1,2,7,14,137,274,959,1918

Greatest Common Factor

We found the factors and prime factorization of 1911 and 1918. The biggest common factor number is the GCF number.
So the greatest common factor 1911 and 1918 is 7.

Also check out the Least Common Multiple of 1911 and 1918

Properties of GCF 1911 and 1918

(i) The GCF of 1911 and 1918 is associative

GCF of 1911 and 1918 = GCF of 1918 and 1911

Related Greatest Common Factor of 1911

Related Greatest Common Factor of 1918

Frequently Asked Questions on GCF of 1911 and 1918

1. What is the GCF of 1911 and 1918?

Answer: GCF of 1911 and 1918 is 7.

2. 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.

3. What are the Factors of 1918?

Answer: Factors of 1918 are 1, 2, 7, 14, 137, 274, 959, 1918. There are 8 integers that are factors of 1918. The greatest factor of 1918 is 1918.

4. How to Find the GCF of 1911 and 1918?

Answer:

Greatest Common Factor of 1911 and 1918 = 7

Step 1: Find the prime factorization of 1911

1911 = 3 x 7 x 7 x 13

Step 2: Find the prime factorization of 1918

1918 = 2 x 7 x 137

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

GCF = 7

Step 4: Therefore, the greatest common factor of 1911 and 1918 is 7