Greatest Common Factor of 1917 and 1920

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 1917, 1920 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1917 and 1920 is 3.

GCF(1917,1920) = 3

GCF of 1917 and 1920

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

GCF of:
and

Greatest Common Factor of 1917 and 1920

GCF of 1917 and 1920 is 3

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

Prime Factorization of 1920


2 1920
2 960
2 480
2 240
2 120
2 60
2 30
3 15
5 5
1

Prime factors of 1920 are 2,3,5. Prime factorization of 1920 in exponential form is:

1920 = 27×31×51

∴ So by taking common prime factors GCF of 1917 and 1920 is 3

Greatest Common Factor of 1917 and 1920 by matching factors method

Factors of 1917

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

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

Factors of 1920

List of positive integer factors of 1920 that divides 1920 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,320,384,480,640,960,1920

Greatest Common Factor

We found the factors and prime factorization of 1917 and 1920. The biggest common factor number is the GCF number.
So the greatest common factor 1917 and 1920 is 3.

Also check out the Least Common Multiple of 1917 and 1920

Properties of GCF 1917 and 1920

(i) The GCF of 1917 and 1920 is associative

GCF of 1917 and 1920 = GCF of 1920 and 1917

Related Greatest Common Factor of 1917

Related Greatest Common Factor of 1920

Frequently Asked Questions on GCF of 1917 and 1920

1. What is the GCF of 1917 and 1920?

Answer: GCF of 1917 and 1920 is 3.

2. 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.

3. What are the Factors of 1920?

Answer: Factors of 1920 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 320, 384, 480, 640, 960, 1920. There are 32 integers that are factors of 1920. The greatest factor of 1920 is 1920.

4. How to Find the GCF of 1917 and 1920?

Answer:

Greatest Common Factor of 1917 and 1920 = 3

Step 1: Find the prime factorization of 1917

1917 = 3 x 3 x 3 x 71

Step 2: Find the prime factorization of 1920

1920 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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 1917 and 1920 is 3