Greatest Common Factor of 8914 and 8918

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 8914, 8918 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8914 and 8918 is 2.

GCF(8914,8918) = 2

GCF of 8914 and 8918

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

GCF of:
and

Greatest Common Factor of 8914 and 8918

GCF of 8914 and 8918 is 2

Prime Factorization of 8914


2 8914
4457 4457
1

Prime factors of 8914 are 2,4457. Prime factorization of 8914 in exponential form is:

8914 = 21×44571

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

∴ So by taking common prime factors GCF of 8914 and 8918 is 2

Greatest Common Factor of 8914 and 8918 by matching factors method

Factors of 8914

List of positive integer factors of 8914 that divides 8914 without a remainder.

1,2,4457,8914

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

Greatest Common Factor

We found the factors and prime factorization of 8914 and 8918. The biggest common factor number is the GCF number.
So the greatest common factor 8914 and 8918 is 2.

Also check out the Least Common Multiple of 8914 and 8918

Properties of GCF 8914 and 8918

(i) The GCF of 8914 and 8918 is associative

GCF of 8914 and 8918 = GCF of 8918 and 8914

Related Greatest Common Factor of 8914

Related Greatest Common Factor of 8918

Frequently Asked Questions on GCF of 8914 and 8918

1. What is the GCF of 8914 and 8918?

Answer: GCF of 8914 and 8918 is 2.

2. What are the Factors of 8914?

Answer: Factors of 8914 are 1, 2, 4457, 8914. There are 4 integers that are factors of 8914. The greatest factor of 8914 is 8914.

3. 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.

4. How to Find the GCF of 8914 and 8918?

Answer:

Greatest Common Factor of 8914 and 8918 = 2

Step 1: Find the prime factorization of 8914

8914 = 2 x 4457

Step 2: Find the prime factorization of 8918

8918 = 2 x 7 x 7 x 7 x 13

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 8914 and 8918 is 2