Greatest Common Factor of 1914 and 1917

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 1914, 1917 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1914 and 1917 is 3.

GCF(1914,1917) = 3

GCF of 1914 and 1917

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

GCF of:
and

Greatest Common Factor of 1914 and 1917

GCF of 1914 and 1917 is 3

Prime Factorization of 1914


2 1914
3 957
11 319
29 29
1

Prime factors of 1914 are 2,3,11,29. Prime factorization of 1914 in exponential form is:

1914 = 21×31×111×291

Prime Factorization of 1917


3 1917
3 639
3 213
71 71
1

Prime factors of 1917 are 3,71. Prime factorization of 1917 in exponential form is:

1917 = 33×711

∴ So by taking common prime factors GCF of 1914 and 1917 is 3

Greatest Common Factor of 1914 and 1917 by matching factors method

Factors of 1914

List of positive integer factors of 1914 that divides 1914 without a remainder.

1,2,3,6,11,22,29,33,58,66,87,174,319,638,957,1914

Factors of 1917

List of positive integer factors of 1917 that divides 1917 without a remainder.

1,3,9,27,71,213,639,1917

Greatest Common Factor

We found the factors and prime factorization of 1914 and 1917. The biggest common factor number is the GCF number.
So the greatest common factor 1914 and 1917 is 3.

Also check out the Least Common Multiple of 1914 and 1917

Properties of GCF 1914 and 1917

(i) The GCF of 1914 and 1917 is associative

GCF of 1914 and 1917 = GCF of 1917 and 1914

Related Greatest Common Factor of 1914

Related Greatest Common Factor of 1917

Frequently Asked Questions on GCF of 1914 and 1917

1. What is the GCF of 1914 and 1917?

Answer: GCF of 1914 and 1917 is 3.

2. What are the Factors of 1914?

Answer: Factors of 1914 are 1, 2, 3, 6, 11, 22, 29, 33, 58, 66, 87, 174, 319, 638, 957, 1914. There are 16 integers that are factors of 1914. The greatest factor of 1914 is 1914.

3. What are the Factors of 1917?

Answer: Factors of 1917 are 1, 3, 9, 27, 71, 213, 639, 1917. There are 8 integers that are factors of 1917. The greatest factor of 1917 is 1917.

4. How to Find the GCF of 1914 and 1917?

Answer:

Greatest Common Factor of 1914 and 1917 = 3

Step 1: Find the prime factorization of 1914

1914 = 2 x 3 x 11 x 29

Step 2: Find the prime factorization of 1917

1917 = 3 x 3 x 3 x 71

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 1914 and 1917 is 3