Greatest Common Factor of 7920 and 7924

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, 7924 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7920 and 7924 is 4.

GCF(7920,7924) = 4

GCF of 7920 and 7924

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

GCF of:
and

Greatest Common Factor of 7920 and 7924

GCF of 7920 and 7924 is 4

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 7924


2 7924
2 3962
7 1981
283 283
1

Prime factors of 7924 are 2,7,283. Prime factorization of 7924 in exponential form is:

7924 = 22×71×2831

∴ So by taking common prime factors GCF of 7920 and 7924 is 4

Greatest Common Factor of 7920 and 7924 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 7924

List of positive integer factors of 7924 that divides 7924 without a remainder.

1,2,4,7,14,28,283,566,1132,1981,3962,7924

Greatest Common Factor

We found the factors and prime factorization of 7920 and 7924. The biggest common factor number is the GCF number.
So the greatest common factor 7920 and 7924 is 4.

Also check out the Least Common Multiple of 7920 and 7924

Properties of GCF 7920 and 7924

(i) The GCF of 7920 and 7924 is associative

GCF of 7920 and 7924 = GCF of 7924 and 7920

Related Greatest Common Factor of 7920

Related Greatest Common Factor of 7924

Frequently Asked Questions on GCF of 7920 and 7924

1. What is the GCF of 7920 and 7924?

Answer: GCF of 7920 and 7924 is 4.

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 7924?

Answer: Factors of 7924 are 1, 2, 4, 7, 14, 28, 283, 566, 1132, 1981, 3962, 7924. There are 12 integers that are factors of 7924. The greatest factor of 7924 is 7924.

4. How to Find the GCF of 7920 and 7924?

Answer:

Greatest Common Factor of 7920 and 7924 = 4

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 7924

7924 = 2 x 2 x 7 x 283

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7920 and 7924 is 4