Greatest Common Factor of 7920 and 7925

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, 7925 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7920 and 7925 is 5.

GCF(7920,7925) = 5

GCF of 7920 and 7925

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

GCF of:
and

Greatest Common Factor of 7920 and 7925

GCF of 7920 and 7925 is 5

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 7925


5 7925
5 1585
317 317
1

Prime factors of 7925 are 5,317. Prime factorization of 7925 in exponential form is:

7925 = 52×3171

∴ So by taking common prime factors GCF of 7920 and 7925 is 5

Greatest Common Factor of 7920 and 7925 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 7925

List of positive integer factors of 7925 that divides 7925 without a remainder.

1,5,25,317,1585,7925

Greatest Common Factor

We found the factors and prime factorization of 7920 and 7925. The biggest common factor number is the GCF number.
So the greatest common factor 7920 and 7925 is 5.

Also check out the Least Common Multiple of 7920 and 7925

Properties of GCF 7920 and 7925

(i) The GCF of 7920 and 7925 is associative

GCF of 7920 and 7925 = GCF of 7925 and 7920

Related Greatest Common Factor of 7920

Related Greatest Common Factor of 7925

Frequently Asked Questions on GCF of 7920 and 7925

1. What is the GCF of 7920 and 7925?

Answer: GCF of 7920 and 7925 is 5.

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 7925?

Answer: Factors of 7925 are 1, 5, 25, 317, 1585, 7925. There are 6 integers that are factors of 7925. The greatest factor of 7925 is 7925.

4. How to Find the GCF of 7920 and 7925?

Answer:

Greatest Common Factor of 7920 and 7925 = 5

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 7925

7925 = 5 x 5 x 317

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 7920 and 7925 is 5