Greatest Common Factor of 7920 and 7923

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 7920, 7923 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7920 and 7923 is 3.

GCF(7920,7923) = 3

GCF of 7920 and 7923

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

GCF of:
and

Greatest Common Factor of 7920 and 7923

GCF of 7920 and 7923 is 3

Prime Factorization of 7920


2 7920
2 3960
2 1980
2 990
3 495
3 165
5 55
11 11
1

Prime factors of 7920 are 2,3,5,11. Prime factorization of 7920 in exponential form is:

7920 = 24×32×51×111

Prime Factorization of 7923


3 7923
19 2641
139 139
1

Prime factors of 7923 are 3,19,139. Prime factorization of 7923 in exponential form is:

7923 = 31×191×1391

∴ So by taking common prime factors GCF of 7920 and 7923 is 3

Greatest Common Factor of 7920 and 7923 by matching factors method

Factors of 7920

List of positive integer factors of 7920 that divides 7920 without a remainder.

1,2,3,4,5,6,8,9,10,11,12,15,16,18,20,22,24,30,33,36,40,44,45,48,55,60,66,72,80,88,90,99,110,120,132,144,165,176,180,198,220,240,264,330,360,396,440,495,528,660,720,792,880,990,1320,1584,1980,2640,3960,7920

Factors of 7923

List of positive integer factors of 7923 that divides 7923 without a remainder.

1,3,19,57,139,417,2641,7923

Greatest Common Factor

We found the factors and prime factorization of 7920 and 7923. The biggest common factor number is the GCF number.
So the greatest common factor 7920 and 7923 is 3.

Also check out the Least Common Multiple of 7920 and 7923

Properties of GCF 7920 and 7923

(i) The GCF of 7920 and 7923 is associative

GCF of 7920 and 7923 = GCF of 7923 and 7920

Related Greatest Common Factor of 7920

Related Greatest Common Factor of 7923

Frequently Asked Questions on GCF of 7920 and 7923

1. What is the GCF of 7920 and 7923?

Answer: GCF of 7920 and 7923 is 3.

2. What are the Factors of 7920?

Answer: Factors of 7920 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, 7920. There are 60 integers that are factors of 7920. The greatest factor of 7920 is 7920.

3. What are the Factors of 7923?

Answer: Factors of 7923 are 1, 3, 19, 57, 139, 417, 2641, 7923. There are 8 integers that are factors of 7923. The greatest factor of 7923 is 7923.

4. How to Find the GCF of 7920 and 7923?

Answer:

Greatest Common Factor of 7920 and 7923 = 3

Step 1: Find the prime factorization of 7920

7920 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11

Step 2: Find the prime factorization of 7923

7923 = 3 x 19 x 139

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7920 and 7923 is 3