Greatest Common Factor of 8911 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 8911, 8918 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8911 and 8918 is 7.

GCF(8911,8918) = 7

GCF of 8911 and 8918

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

GCF of:
and

Greatest Common Factor of 8911 and 8918

GCF of 8911 and 8918 is 7

Prime Factorization of 8911


7 8911
19 1273
67 67
1

Prime factors of 8911 are 7,19,67. Prime factorization of 8911 in exponential form is:

8911 = 71×191×671

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 8911 and 8918 is 7

Greatest Common Factor of 8911 and 8918 by matching factors method

Factors of 8911

List of positive integer factors of 8911 that divides 8911 without a remainder.

1,7,19,67,133,469,1273,8911

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 8911 and 8918. The biggest common factor number is the GCF number.
So the greatest common factor 8911 and 8918 is 7.

Also check out the Least Common Multiple of 8911 and 8918

Properties of GCF 8911 and 8918

(i) The GCF of 8911 and 8918 is associative

GCF of 8911 and 8918 = GCF of 8918 and 8911

Related Greatest Common Factor of 8911

Related Greatest Common Factor of 8918

Frequently Asked Questions on GCF of 8911 and 8918

1. What is the GCF of 8911 and 8918?

Answer: GCF of 8911 and 8918 is 7.

2. What are the Factors of 8911?

Answer: Factors of 8911 are 1, 7, 19, 67, 133, 469, 1273, 8911. There are 8 integers that are factors of 8911. The greatest factor of 8911 is 8911.

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 8911 and 8918?

Answer:

Greatest Common Factor of 8911 and 8918 = 7

Step 1: Find the prime factorization of 8911

8911 = 7 x 19 x 67

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 = 7

Step 4: Therefore, the greatest common factor of 8911 and 8918 is 7