Greatest Common Factor of 8834 and 8841

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, 8841 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8834 and 8841 is 7.

GCF(8834,8841) = 7

GCF of 8834 and 8841

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

GCF of:
and

Greatest Common Factor of 8834 and 8841

GCF of 8834 and 8841 is 7

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 8841


3 8841
7 2947
421 421
1

Prime factors of 8841 are 3,7,421. Prime factorization of 8841 in exponential form is:

8841 = 31×71×4211

∴ So by taking common prime factors GCF of 8834 and 8841 is 7

Greatest Common Factor of 8834 and 8841 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 8841

List of positive integer factors of 8841 that divides 8841 without a remainder.

1,3,7,21,421,1263,2947,8841

Greatest Common Factor

We found the factors and prime factorization of 8834 and 8841. The biggest common factor number is the GCF number.
So the greatest common factor 8834 and 8841 is 7.

Also check out the Least Common Multiple of 8834 and 8841

Properties of GCF 8834 and 8841

(i) The GCF of 8834 and 8841 is associative

GCF of 8834 and 8841 = GCF of 8841 and 8834

Related Greatest Common Factor of 8834

Related Greatest Common Factor of 8841

Frequently Asked Questions on GCF of 8834 and 8841

1. What is the GCF of 8834 and 8841?

Answer: GCF of 8834 and 8841 is 7.

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 8841?

Answer: Factors of 8841 are 1, 3, 7, 21, 421, 1263, 2947, 8841. There are 8 integers that are factors of 8841. The greatest factor of 8841 is 8841.

4. How to Find the GCF of 8834 and 8841?

Answer:

Greatest Common Factor of 8834 and 8841 = 7

Step 1: Find the prime factorization of 8834

8834 = 2 x 7 x 631

Step 2: Find the prime factorization of 8841

8841 = 3 x 7 x 421

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

GCF = 7

Step 4: Therefore, the greatest common factor of 8834 and 8841 is 7