Greatest Common Factor of 7848 and 7856

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 7848, 7856 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7848 and 7856 is 8.

GCF(7848,7856) = 8

GCF of 7848 and 7856

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

GCF of:
and

Greatest Common Factor of 7848 and 7856

GCF of 7848 and 7856 is 8

Prime Factorization of 7848


2 7848
2 3924
2 1962
3 981
3 327
109 109
1

Prime factors of 7848 are 2,3,109. Prime factorization of 7848 in exponential form is:

7848 = 23×32×1091

Prime Factorization of 7856


2 7856
2 3928
2 1964
2 982
491 491
1

Prime factors of 7856 are 2,491. Prime factorization of 7856 in exponential form is:

7856 = 24×4911

∴ So by taking common prime factors GCF of 7848 and 7856 is 8

Greatest Common Factor of 7848 and 7856 by matching factors method

Factors of 7848

List of positive integer factors of 7848 that divides 7848 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,109,218,327,436,654,872,981,1308,1962,2616,3924,7848

Factors of 7856

List of positive integer factors of 7856 that divides 7856 without a remainder.

1,2,4,8,16,491,982,1964,3928,7856

Greatest Common Factor

We found the factors and prime factorization of 7848 and 7856. The biggest common factor number is the GCF number.
So the greatest common factor 7848 and 7856 is 8.

Also check out the Least Common Multiple of 7848 and 7856

Properties of GCF 7848 and 7856

(i) The GCF of 7848 and 7856 is associative

GCF of 7848 and 7856 = GCF of 7856 and 7848

Related Greatest Common Factor of 7848

Related Greatest Common Factor of 7856

Frequently Asked Questions on GCF of 7848 and 7856

1. What is the GCF of 7848 and 7856?

Answer: GCF of 7848 and 7856 is 8.

2. What are the Factors of 7848?

Answer: Factors of 7848 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 109, 218, 327, 436, 654, 872, 981, 1308, 1962, 2616, 3924, 7848. There are 24 integers that are factors of 7848. The greatest factor of 7848 is 7848.

3. What are the Factors of 7856?

Answer: Factors of 7856 are 1, 2, 4, 8, 16, 491, 982, 1964, 3928, 7856. There are 10 integers that are factors of 7856. The greatest factor of 7856 is 7856.

4. How to Find the GCF of 7848 and 7856?

Answer:

Greatest Common Factor of 7848 and 7856 = 8

Step 1: Find the prime factorization of 7848

7848 = 2 x 2 x 2 x 3 x 3 x 109

Step 2: Find the prime factorization of 7856

7856 = 2 x 2 x 2 x 2 x 491

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 7848 and 7856 is 8