Greatest Common Factor of 1920 and 1926

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, 1926 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1920 and 1926 is 6.

GCF(1920,1926) = 6

GCF of 1920 and 1926

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

GCF of:
and

Greatest Common Factor of 1920 and 1926

GCF of 1920 and 1926 is 6

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 1926


2 1926
3 963
3 321
107 107
1

Prime factors of 1926 are 2,3,107. Prime factorization of 1926 in exponential form is:

1926 = 21×32×1071

∴ So by taking common prime factors GCF of 1920 and 1926 is 6

Greatest Common Factor of 1920 and 1926 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 1926

List of positive integer factors of 1926 that divides 1926 without a remainder.

1,2,3,6,9,18,107,214,321,642,963,1926

Greatest Common Factor

We found the factors and prime factorization of 1920 and 1926. The biggest common factor number is the GCF number.
So the greatest common factor 1920 and 1926 is 6.

Also check out the Least Common Multiple of 1920 and 1926

Properties of GCF 1920 and 1926

(i) The GCF of 1920 and 1926 is associative

GCF of 1920 and 1926 = GCF of 1926 and 1920

Related Greatest Common Factor of 1920

Related Greatest Common Factor of 1926

Frequently Asked Questions on GCF of 1920 and 1926

1. What is the GCF of 1920 and 1926?

Answer: GCF of 1920 and 1926 is 6.

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 1926?

Answer: Factors of 1926 are 1, 2, 3, 6, 9, 18, 107, 214, 321, 642, 963, 1926. There are 12 integers that are factors of 1926. The greatest factor of 1926 is 1926.

4. How to Find the GCF of 1920 and 1926?

Answer:

Greatest Common Factor of 1920 and 1926 = 6

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 1926

1926 = 2 x 3 x 3 x 107

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1920 and 1926 is 6