Greatest Common Factor of 7864 and 7872

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 7864, 7872 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7864 and 7872 is 8.

GCF(7864,7872) = 8

GCF of 7864 and 7872

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

GCF of:
and

Greatest Common Factor of 7864 and 7872

GCF of 7864 and 7872 is 8

Prime Factorization of 7864


2 7864
2 3932
2 1966
983 983
1

Prime factors of 7864 are 2,983. Prime factorization of 7864 in exponential form is:

7864 = 23×9831

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

∴ So by taking common prime factors GCF of 7864 and 7872 is 8

Greatest Common Factor of 7864 and 7872 by matching factors method

Factors of 7864

List of positive integer factors of 7864 that divides 7864 without a remainder.

1,2,4,8,983,1966,3932,7864

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

Greatest Common Factor

We found the factors and prime factorization of 7864 and 7872. The biggest common factor number is the GCF number.
So the greatest common factor 7864 and 7872 is 8.

Also check out the Least Common Multiple of 7864 and 7872

Properties of GCF 7864 and 7872

(i) The GCF of 7864 and 7872 is associative

GCF of 7864 and 7872 = GCF of 7872 and 7864

Related Greatest Common Factor of 7864

Related Greatest Common Factor of 7872

Frequently Asked Questions on GCF of 7864 and 7872

1. What is the GCF of 7864 and 7872?

Answer: GCF of 7864 and 7872 is 8.

2. What are the Factors of 7864?

Answer: Factors of 7864 are 1, 2, 4, 8, 983, 1966, 3932, 7864. There are 8 integers that are factors of 7864. The greatest factor of 7864 is 7864.

3. 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.

4. How to Find the GCF of 7864 and 7872?

Answer:

Greatest Common Factor of 7864 and 7872 = 8

Step 1: Find the prime factorization of 7864

7864 = 2 x 2 x 2 x 983

Step 2: Find the prime factorization of 7872

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

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 7864 and 7872 is 8