Greatest Common Factor of 1920 and 1924

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, 1924 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1920 and 1924 is 4.

GCF(1920,1924) = 4

GCF of 1920 and 1924

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

GCF of:
and

Greatest Common Factor of 1920 and 1924

GCF of 1920 and 1924 is 4

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 1924


2 1924
2 962
13 481
37 37
1

Prime factors of 1924 are 2,13,37. Prime factorization of 1924 in exponential form is:

1924 = 22×131×371

∴ So by taking common prime factors GCF of 1920 and 1924 is 4

Greatest Common Factor of 1920 and 1924 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 1924

List of positive integer factors of 1924 that divides 1924 without a remainder.

1,2,4,13,26,37,52,74,148,481,962,1924

Greatest Common Factor

We found the factors and prime factorization of 1920 and 1924. The biggest common factor number is the GCF number.
So the greatest common factor 1920 and 1924 is 4.

Also check out the Least Common Multiple of 1920 and 1924

Properties of GCF 1920 and 1924

(i) The GCF of 1920 and 1924 is associative

GCF of 1920 and 1924 = GCF of 1924 and 1920

Related Greatest Common Factor of 1920

Related Greatest Common Factor of 1924

Frequently Asked Questions on GCF of 1920 and 1924

1. What is the GCF of 1920 and 1924?

Answer: GCF of 1920 and 1924 is 4.

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 1924?

Answer: Factors of 1924 are 1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1924. There are 12 integers that are factors of 1924. The greatest factor of 1924 is 1924.

4. How to Find the GCF of 1920 and 1924?

Answer:

Greatest Common Factor of 1920 and 1924 = 4

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 1924

1924 = 2 x 2 x 13 x 37

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1920 and 1924 is 4