Greatest Common Factor of 8806 and 8813

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 8806, 8813 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8806 and 8813 is 7.

GCF(8806,8813) = 7

GCF of 8806 and 8813

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

GCF of:
and

Greatest Common Factor of 8806 and 8813

GCF of 8806 and 8813 is 7

Prime Factorization of 8806


2 8806
7 4403
17 629
37 37
1

Prime factors of 8806 are 2,7,17,37. Prime factorization of 8806 in exponential form is:

8806 = 21×71×171×371

Prime Factorization of 8813


7 8813
1259 1259
1

Prime factors of 8813 are 7,1259. Prime factorization of 8813 in exponential form is:

8813 = 71×12591

∴ So by taking common prime factors GCF of 8806 and 8813 is 7

Greatest Common Factor of 8806 and 8813 by matching factors method

Factors of 8806

List of positive integer factors of 8806 that divides 8806 without a remainder.

1,2,7,14,17,34,37,74,119,238,259,518,629,1258,4403,8806

Factors of 8813

List of positive integer factors of 8813 that divides 8813 without a remainder.

1,7,1259,8813

Greatest Common Factor

We found the factors and prime factorization of 8806 and 8813. The biggest common factor number is the GCF number.
So the greatest common factor 8806 and 8813 is 7.

Also check out the Least Common Multiple of 8806 and 8813

Properties of GCF 8806 and 8813

(i) The GCF of 8806 and 8813 is associative

GCF of 8806 and 8813 = GCF of 8813 and 8806

Related Greatest Common Factor of 8806

Related Greatest Common Factor of 8813

Frequently Asked Questions on GCF of 8806 and 8813

1. What is the GCF of 8806 and 8813?

Answer: GCF of 8806 and 8813 is 7.

2. What are the Factors of 8806?

Answer: Factors of 8806 are 1, 2, 7, 14, 17, 34, 37, 74, 119, 238, 259, 518, 629, 1258, 4403, 8806. There are 16 integers that are factors of 8806. The greatest factor of 8806 is 8806.

3. What are the Factors of 8813?

Answer: Factors of 8813 are 1, 7, 1259, 8813. There are 4 integers that are factors of 8813. The greatest factor of 8813 is 8813.

4. How to Find the GCF of 8806 and 8813?

Answer:

Greatest Common Factor of 8806 and 8813 = 7

Step 1: Find the prime factorization of 8806

8806 = 2 x 7 x 17 x 37

Step 2: Find the prime factorization of 8813

8813 = 7 x 1259

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 8806 and 8813 is 7