Greatest Common Factor of 1920 and 1925

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, 1925 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1920 and 1925 is 5.

GCF(1920,1925) = 5

GCF of 1920 and 1925

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

GCF of:
and

Greatest Common Factor of 1920 and 1925

GCF of 1920 and 1925 is 5

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 1925


5 1925
5 385
7 77
11 11
1

Prime factors of 1925 are 5,7,11. Prime factorization of 1925 in exponential form is:

1925 = 52×71×111

∴ So by taking common prime factors GCF of 1920 and 1925 is 5

Greatest Common Factor of 1920 and 1925 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 1925

List of positive integer factors of 1925 that divides 1925 without a remainder.

1,5,7,11,25,35,55,77,175,275,385,1925

Greatest Common Factor

We found the factors and prime factorization of 1920 and 1925. The biggest common factor number is the GCF number.
So the greatest common factor 1920 and 1925 is 5.

Also check out the Least Common Multiple of 1920 and 1925

Properties of GCF 1920 and 1925

(i) The GCF of 1920 and 1925 is associative

GCF of 1920 and 1925 = GCF of 1925 and 1920

Related Greatest Common Factor of 1920

Related Greatest Common Factor of 1925

Frequently Asked Questions on GCF of 1920 and 1925

1. What is the GCF of 1920 and 1925?

Answer: GCF of 1920 and 1925 is 5.

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 1925?

Answer: Factors of 1925 are 1, 5, 7, 11, 25, 35, 55, 77, 175, 275, 385, 1925. There are 12 integers that are factors of 1925. The greatest factor of 1925 is 1925.

4. How to Find the GCF of 1920 and 1925?

Answer:

Greatest Common Factor of 1920 and 1925 = 5

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 1925

1925 = 5 x 5 x 7 x 11

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

GCF = 5

Step 4: Therefore, the greatest common factor of 1920 and 1925 is 5