Greatest Common Factor of 1920 and 1923

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 1920, 1923 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1920 and 1923 is 3.

GCF(1920,1923) = 3

GCF of 1920 and 1923

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

GCF of:
and

Greatest Common Factor of 1920 and 1923

GCF of 1920 and 1923 is 3

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

Prime Factorization of 1923


3 1923
641 641
1

Prime factors of 1923 are 3,641. Prime factorization of 1923 in exponential form is:

1923 = 31×6411

∴ So by taking common prime factors GCF of 1920 and 1923 is 3

Greatest Common Factor of 1920 and 1923 by matching factors method

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

Factors of 1923

List of positive integer factors of 1923 that divides 1923 without a remainder.

1,3,641,1923

Greatest Common Factor

We found the factors and prime factorization of 1920 and 1923. The biggest common factor number is the GCF number.
So the greatest common factor 1920 and 1923 is 3.

Also check out the Least Common Multiple of 1920 and 1923

Properties of GCF 1920 and 1923

(i) The GCF of 1920 and 1923 is associative

GCF of 1920 and 1923 = GCF of 1923 and 1920

Related Greatest Common Factor of 1920

Related Greatest Common Factor of 1923

Frequently Asked Questions on GCF of 1920 and 1923

1. What is the GCF of 1920 and 1923?

Answer: GCF of 1920 and 1923 is 3.

2. 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.

3. What are the Factors of 1923?

Answer: Factors of 1923 are 1, 3, 641, 1923. There are 4 integers that are factors of 1923. The greatest factor of 1923 is 1923.

4. How to Find the GCF of 1920 and 1923?

Answer:

Greatest Common Factor of 1920 and 1923 = 3

Step 1: 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 2: Find the prime factorization of 1923

1923 = 3 x 641

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 1920 and 1923 is 3