Greatest Common Factor of 7872 and 7876

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, 7876 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7872 and 7876 is 4.

GCF(7872,7876) = 4

GCF of 7872 and 7876

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

GCF of:
and

Greatest Common Factor of 7872 and 7876

GCF of 7872 and 7876 is 4

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 7876


2 7876
2 3938
11 1969
179 179
1

Prime factors of 7876 are 2,11,179. Prime factorization of 7876 in exponential form is:

7876 = 22×111×1791

∴ So by taking common prime factors GCF of 7872 and 7876 is 4

Greatest Common Factor of 7872 and 7876 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 7876

List of positive integer factors of 7876 that divides 7876 without a remainder.

1,2,4,11,22,44,179,358,716,1969,3938,7876

Greatest Common Factor

We found the factors and prime factorization of 7872 and 7876. The biggest common factor number is the GCF number.
So the greatest common factor 7872 and 7876 is 4.

Also check out the Least Common Multiple of 7872 and 7876

Properties of GCF 7872 and 7876

(i) The GCF of 7872 and 7876 is associative

GCF of 7872 and 7876 = GCF of 7876 and 7872

Related Greatest Common Factor of 7872

Related Greatest Common Factor of 7876

Frequently Asked Questions on GCF of 7872 and 7876

1. What is the GCF of 7872 and 7876?

Answer: GCF of 7872 and 7876 is 4.

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 7876?

Answer: Factors of 7876 are 1, 2, 4, 11, 22, 44, 179, 358, 716, 1969, 3938, 7876. There are 12 integers that are factors of 7876. The greatest factor of 7876 is 7876.

4. How to Find the GCF of 7872 and 7876?

Answer:

Greatest Common Factor of 7872 and 7876 = 4

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 7876

7876 = 2 x 2 x 11 x 179

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 7872 and 7876 is 4