Greatest Common Factor of 1920 and 1922

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, 1922 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1920 and 1922 is 2.

GCF(1920,1922) = 2

GCF of 1920 and 1922

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

GCF of:
and

Greatest Common Factor of 1920 and 1922

GCF of 1920 and 1922 is 2

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 1922


2 1922
31 961
31 31
1

Prime factors of 1922 are 2,31. Prime factorization of 1922 in exponential form is:

1922 = 21×312

∴ So by taking common prime factors GCF of 1920 and 1922 is 2

Greatest Common Factor of 1920 and 1922 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 1922

List of positive integer factors of 1922 that divides 1922 without a remainder.

1,2,31,62,961,1922

Greatest Common Factor

We found the factors and prime factorization of 1920 and 1922. The biggest common factor number is the GCF number.
So the greatest common factor 1920 and 1922 is 2.

Also check out the Least Common Multiple of 1920 and 1922

Properties of GCF 1920 and 1922

(i) The GCF of 1920 and 1922 is associative

GCF of 1920 and 1922 = GCF of 1922 and 1920

Related Greatest Common Factor of 1920

Related Greatest Common Factor of 1922

Frequently Asked Questions on GCF of 1920 and 1922

1. What is the GCF of 1920 and 1922?

Answer: GCF of 1920 and 1922 is 2.

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 1922?

Answer: Factors of 1922 are 1, 2, 31, 62, 961, 1922. There are 6 integers that are factors of 1922. The greatest factor of 1922 is 1922.

4. How to Find the GCF of 1920 and 1922?

Answer:

Greatest Common Factor of 1920 and 1922 = 2

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 1922

1922 = 2 x 31 x 31

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1920 and 1922 is 2