Greatest Common Factor of 7842 and 7850

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, 7850 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7842 and 7850 is 2.

GCF(7842,7850) = 2

GCF of 7842 and 7850

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

GCF of:
and

Greatest Common Factor of 7842 and 7850

GCF of 7842 and 7850 is 2

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 7850


2 7850
5 3925
5 785
157 157
1

Prime factors of 7850 are 2,5,157. Prime factorization of 7850 in exponential form is:

7850 = 21×52×1571

∴ So by taking common prime factors GCF of 7842 and 7850 is 2

Greatest Common Factor of 7842 and 7850 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 7850

List of positive integer factors of 7850 that divides 7850 without a remainder.

1,2,5,10,25,50,157,314,785,1570,3925,7850

Greatest Common Factor

We found the factors and prime factorization of 7842 and 7850. The biggest common factor number is the GCF number.
So the greatest common factor 7842 and 7850 is 2.

Also check out the Least Common Multiple of 7842 and 7850

Properties of GCF 7842 and 7850

(i) The GCF of 7842 and 7850 is associative

GCF of 7842 and 7850 = GCF of 7850 and 7842

Related Greatest Common Factor of 7842

Related Greatest Common Factor of 7850

Frequently Asked Questions on GCF of 7842 and 7850

1. What is the GCF of 7842 and 7850?

Answer: GCF of 7842 and 7850 is 2.

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 7850?

Answer: Factors of 7850 are 1, 2, 5, 10, 25, 50, 157, 314, 785, 1570, 3925, 7850. There are 12 integers that are factors of 7850. The greatest factor of 7850 is 7850.

4. How to Find the GCF of 7842 and 7850?

Answer:

Greatest Common Factor of 7842 and 7850 = 2

Step 1: Find the prime factorization of 7842

7842 = 2 x 3 x 1307

Step 2: Find the prime factorization of 7850

7850 = 2 x 5 x 5 x 157

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 7842 and 7850 is 2