Greatest Common Factor of 1920 and 1921

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, 1921 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1920 and 1921 is 1.

GCF(1920,1921) = 1

GCF of 1920 and 1921

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

GCF of:
and

Greatest Common Factor of 1920 and 1921

GCF of 1920 and 1921 is 1

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 1921


17 1921
113 113
1

Prime factors of 1921 are 17,113. Prime factorization of 1921 in exponential form is:

1921 = 171×1131

∴ So by taking common prime factors GCF of 1920 and 1921 is 1

Greatest Common Factor of 1920 and 1921 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 1921

List of positive integer factors of 1921 that divides 1921 without a remainder.

1,17,113,1921

Greatest Common Factor

We found the factors and prime factorization of 1920 and 1921. The biggest common factor number is the GCF number.
So the greatest common factor 1920 and 1921 is 1.

Also check out the Least Common Multiple of 1920 and 1921

Properties of GCF 1920 and 1921

(i) The GCF of 1920 and 1921 is associative

GCF of 1920 and 1921 = GCF of 1921 and 1920

Related Greatest Common Factor of 1920

Related Greatest Common Factor of 1921

Frequently Asked Questions on GCF of 1920 and 1921

1. What is the GCF of 1920 and 1921?

Answer: GCF of 1920 and 1921 is 1.

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 1921?

Answer: Factors of 1921 are 1, 17, 113, 1921. There are 4 integers that are factors of 1921. The greatest factor of 1921 is 1921.

4. How to Find the GCF of 1920 and 1921?

Answer:

Greatest Common Factor of 1920 and 1921 = 1

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 1921

1921 = 17 x 113

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1920 and 1921 is 1