Greatest Common Factor of 7834 and 7842

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 7834, 7842 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7834 and 7842 is 2.

GCF(7834,7842) = 2

GCF of 7834 and 7842

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

GCF of:
and

Greatest Common Factor of 7834 and 7842

GCF of 7834 and 7842 is 2

Prime Factorization of 7834


2 7834
3917 3917
1

Prime factors of 7834 are 2,3917. Prime factorization of 7834 in exponential form is:

7834 = 21×39171

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

∴ So by taking common prime factors GCF of 7834 and 7842 is 2

Greatest Common Factor of 7834 and 7842 by matching factors method

Factors of 7834

List of positive integer factors of 7834 that divides 7834 without a remainder.

1,2,3917,7834

Factors of 7842

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

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

Greatest Common Factor

We found the factors and prime factorization of 7834 and 7842. The biggest common factor number is the GCF number.
So the greatest common factor 7834 and 7842 is 2.

Also check out the Least Common Multiple of 7834 and 7842

Properties of GCF 7834 and 7842

(i) The GCF of 7834 and 7842 is associative

GCF of 7834 and 7842 = GCF of 7842 and 7834

Related Greatest Common Factor of 7834

Related Greatest Common Factor of 7842

Frequently Asked Questions on GCF of 7834 and 7842

1. What is the GCF of 7834 and 7842?

Answer: GCF of 7834 and 7842 is 2.

2. What are the Factors of 7834?

Answer: Factors of 7834 are 1, 2, 3917, 7834. There are 4 integers that are factors of 7834. The greatest factor of 7834 is 7834.

3. 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.

4. How to Find the GCF of 7834 and 7842?

Answer:

Greatest Common Factor of 7834 and 7842 = 2

Step 1: Find the prime factorization of 7834

7834 = 2 x 3917

Step 2: Find the prime factorization of 7842

7842 = 2 x 3 x 1307

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7834 and 7842 is 2