Greatest Common Factor of 8918 and 8926

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 8918, 8926 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8918 and 8926 is 2.

GCF(8918,8926) = 2

GCF of 8918 and 8926

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

GCF of:
and

Greatest Common Factor of 8918 and 8926

GCF of 8918 and 8926 is 2

Prime Factorization of 8918


2 8918
7 4459
7 637
7 91
13 13
1

Prime factors of 8918 are 2,7,13. Prime factorization of 8918 in exponential form is:

8918 = 21×73×131

Prime Factorization of 8926


2 8926
4463 4463
1

Prime factors of 8926 are 2,4463. Prime factorization of 8926 in exponential form is:

8926 = 21×44631

∴ So by taking common prime factors GCF of 8918 and 8926 is 2

Greatest Common Factor of 8918 and 8926 by matching factors method

Factors of 8918

List of positive integer factors of 8918 that divides 8918 without a remainder.

1,2,7,13,14,26,49,91,98,182,343,637,686,1274,4459,8918

Factors of 8926

List of positive integer factors of 8926 that divides 8926 without a remainder.

1,2,4463,8926

Greatest Common Factor

We found the factors and prime factorization of 8918 and 8926. The biggest common factor number is the GCF number.
So the greatest common factor 8918 and 8926 is 2.

Also check out the Least Common Multiple of 8918 and 8926

Properties of GCF 8918 and 8926

(i) The GCF of 8918 and 8926 is associative

GCF of 8918 and 8926 = GCF of 8926 and 8918

Related Greatest Common Factor of 8918

Related Greatest Common Factor of 8926

Frequently Asked Questions on GCF of 8918 and 8926

1. What is the GCF of 8918 and 8926?

Answer: GCF of 8918 and 8926 is 2.

2. What are the Factors of 8918?

Answer: Factors of 8918 are 1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 343, 637, 686, 1274, 4459, 8918. There are 16 integers that are factors of 8918. The greatest factor of 8918 is 8918.

3. What are the Factors of 8926?

Answer: Factors of 8926 are 1, 2, 4463, 8926. There are 4 integers that are factors of 8926. The greatest factor of 8926 is 8926.

4. How to Find the GCF of 8918 and 8926?

Answer:

Greatest Common Factor of 8918 and 8926 = 2

Step 1: Find the prime factorization of 8918

8918 = 2 x 7 x 7 x 7 x 13

Step 2: Find the prime factorization of 8926

8926 = 2 x 4463

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 8918 and 8926 is 2