Greatest Common Factor of 7872 and 7875

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 7872, 7875 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7872 and 7875 is 3.

GCF(7872,7875) = 3

GCF of 7872 and 7875

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

GCF of:
and

Greatest Common Factor of 7872 and 7875

GCF of 7872 and 7875 is 3

Prime Factorization of 7872


2 7872
2 3936
2 1968
2 984
2 492
2 246
3 123
41 41
1

Prime factors of 7872 are 2,3,41. Prime factorization of 7872 in exponential form is:

7872 = 26×31×411

Prime Factorization of 7875


3 7875
3 2625
5 875
5 175
5 35
7 7
1

Prime factors of 7875 are 3,5,7. Prime factorization of 7875 in exponential form is:

7875 = 32×53×71

∴ So by taking common prime factors GCF of 7872 and 7875 is 3

Greatest Common Factor of 7872 and 7875 by matching factors method

Factors of 7872

List of positive integer factors of 7872 that divides 7872 without a remainder.

1,2,3,4,6,8,12,16,24,32,41,48,64,82,96,123,164,192,246,328,492,656,984,1312,1968,2624,3936,7872

Factors of 7875

List of positive integer factors of 7875 that divides 7875 without a remainder.

1,3,5,7,9,15,21,25,35,45,63,75,105,125,175,225,315,375,525,875,1125,1575,2625,7875

Greatest Common Factor

We found the factors and prime factorization of 7872 and 7875. The biggest common factor number is the GCF number.
So the greatest common factor 7872 and 7875 is 3.

Also check out the Least Common Multiple of 7872 and 7875

Properties of GCF 7872 and 7875

(i) The GCF of 7872 and 7875 is associative

GCF of 7872 and 7875 = GCF of 7875 and 7872

Related Greatest Common Factor of 7872

Related Greatest Common Factor of 7875

Frequently Asked Questions on GCF of 7872 and 7875

1. What is the GCF of 7872 and 7875?

Answer: GCF of 7872 and 7875 is 3.

2. What are the Factors of 7872?

Answer: Factors of 7872 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 64, 82, 96, 123, 164, 192, 246, 328, 492, 656, 984, 1312, 1968, 2624, 3936, 7872. There are 28 integers that are factors of 7872. The greatest factor of 7872 is 7872.

3. What are the Factors of 7875?

Answer: Factors of 7875 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 125, 175, 225, 315, 375, 525, 875, 1125, 1575, 2625, 7875. There are 24 integers that are factors of 7875. The greatest factor of 7875 is 7875.

4. How to Find the GCF of 7872 and 7875?

Answer:

Greatest Common Factor of 7872 and 7875 = 3

Step 1: Find the prime factorization of 7872

7872 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 41

Step 2: Find the prime factorization of 7875

7875 = 3 x 3 x 5 x 5 x 5 x 7

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 7872 and 7875 is 3