Greatest Common Factor of 7842 and 7848

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 7842, 7848 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7842 and 7848 is 6.

GCF(7842,7848) = 6

GCF of 7842 and 7848

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

GCF of:
and

Greatest Common Factor of 7842 and 7848

GCF of 7842 and 7848 is 6

Prime Factorization of 7842


2 7842
3 3921
1307 1307
1

Prime factors of 7842 are 2,3,1307. Prime factorization of 7842 in exponential form is:

7842 = 21×31×13071

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

∴ So by taking common prime factors GCF of 7842 and 7848 is 6

Greatest Common Factor of 7842 and 7848 by matching factors method

Factors of 7842

List of positive integer factors of 7842 that divides 7842 without a remainder.

1,2,3,6,1307,2614,3921,7842

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

Greatest Common Factor

We found the factors and prime factorization of 7842 and 7848. The biggest common factor number is the GCF number.
So the greatest common factor 7842 and 7848 is 6.

Also check out the Least Common Multiple of 7842 and 7848

Properties of GCF 7842 and 7848

(i) The GCF of 7842 and 7848 is associative

GCF of 7842 and 7848 = GCF of 7848 and 7842

Related Greatest Common Factor of 7842

Related Greatest Common Factor of 7848

Frequently Asked Questions on GCF of 7842 and 7848

1. What is the GCF of 7842 and 7848?

Answer: GCF of 7842 and 7848 is 6.

2. What are the Factors of 7842?

Answer: Factors of 7842 are 1, 2, 3, 6, 1307, 2614, 3921, 7842. There are 8 integers that are factors of 7842. The greatest factor of 7842 is 7842.

3. 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.

4. How to Find the GCF of 7842 and 7848?

Answer:

Greatest Common Factor of 7842 and 7848 = 6

Step 1: Find the prime factorization of 7842

7842 = 2 x 3 x 1307

Step 2: Find the prime factorization of 7848

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

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 7842 and 7848 is 6