Greatest Common Factor of 8834 and 8842

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 8834, 8842 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8834 and 8842 is 2.

GCF(8834,8842) = 2

GCF of 8834 and 8842

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

GCF of:
and

Greatest Common Factor of 8834 and 8842

GCF of 8834 and 8842 is 2

Prime Factorization of 8834


2 8834
7 4417
631 631
1

Prime factors of 8834 are 2,7,631. Prime factorization of 8834 in exponential form is:

8834 = 21×71×6311

Prime Factorization of 8842


2 8842
4421 4421
1

Prime factors of 8842 are 2,4421. Prime factorization of 8842 in exponential form is:

8842 = 21×44211

∴ So by taking common prime factors GCF of 8834 and 8842 is 2

Greatest Common Factor of 8834 and 8842 by matching factors method

Factors of 8834

List of positive integer factors of 8834 that divides 8834 without a remainder.

1,2,7,14,631,1262,4417,8834

Factors of 8842

List of positive integer factors of 8842 that divides 8842 without a remainder.

1,2,4421,8842

Greatest Common Factor

We found the factors and prime factorization of 8834 and 8842. The biggest common factor number is the GCF number.
So the greatest common factor 8834 and 8842 is 2.

Also check out the Least Common Multiple of 8834 and 8842

Properties of GCF 8834 and 8842

(i) The GCF of 8834 and 8842 is associative

GCF of 8834 and 8842 = GCF of 8842 and 8834

Related Greatest Common Factor of 8834

Related Greatest Common Factor of 8842

Frequently Asked Questions on GCF of 8834 and 8842

1. What is the GCF of 8834 and 8842?

Answer: GCF of 8834 and 8842 is 2.

2. What are the Factors of 8834?

Answer: Factors of 8834 are 1, 2, 7, 14, 631, 1262, 4417, 8834. There are 8 integers that are factors of 8834. The greatest factor of 8834 is 8834.

3. What are the Factors of 8842?

Answer: Factors of 8842 are 1, 2, 4421, 8842. There are 4 integers that are factors of 8842. The greatest factor of 8842 is 8842.

4. How to Find the GCF of 8834 and 8842?

Answer:

Greatest Common Factor of 8834 and 8842 = 2

Step 1: Find the prime factorization of 8834

8834 = 2 x 7 x 631

Step 2: Find the prime factorization of 8842

8842 = 2 x 4421

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 8834 and 8842 is 2