Greatest Common Factor of 8834 and 8840

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, 8840 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8834 and 8840 is 2.

GCF(8834,8840) = 2

GCF of 8834 and 8840

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

GCF of:
and

Greatest Common Factor of 8834 and 8840

GCF of 8834 and 8840 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 8840


2 8840
2 4420
2 2210
5 1105
13 221
17 17
1

Prime factors of 8840 are 2,5,13,17. Prime factorization of 8840 in exponential form is:

8840 = 23×51×131×171

∴ So by taking common prime factors GCF of 8834 and 8840 is 2

Greatest Common Factor of 8834 and 8840 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 8840

List of positive integer factors of 8840 that divides 8840 without a remainder.

1,2,4,5,8,10,13,17,20,26,34,40,52,65,68,85,104,130,136,170,221,260,340,442,520,680,884,1105,1768,2210,4420,8840

Greatest Common Factor

We found the factors and prime factorization of 8834 and 8840. The biggest common factor number is the GCF number.
So the greatest common factor 8834 and 8840 is 2.

Also check out the Least Common Multiple of 8834 and 8840

Properties of GCF 8834 and 8840

(i) The GCF of 8834 and 8840 is associative

GCF of 8834 and 8840 = GCF of 8840 and 8834

Related Greatest Common Factor of 8834

Related Greatest Common Factor of 8840

Frequently Asked Questions on GCF of 8834 and 8840

1. What is the GCF of 8834 and 8840?

Answer: GCF of 8834 and 8840 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 8840?

Answer: Factors of 8840 are 1, 2, 4, 5, 8, 10, 13, 17, 20, 26, 34, 40, 52, 65, 68, 85, 104, 130, 136, 170, 221, 260, 340, 442, 520, 680, 884, 1105, 1768, 2210, 4420, 8840. There are 32 integers that are factors of 8840. The greatest factor of 8840 is 8840.

4. How to Find the GCF of 8834 and 8840?

Answer:

Greatest Common Factor of 8834 and 8840 = 2

Step 1: Find the prime factorization of 8834

8834 = 2 x 7 x 631

Step 2: Find the prime factorization of 8840

8840 = 2 x 2 x 2 x 5 x 13 x 17

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 8840 is 2