Greatest Common Factor of 8918 and 8925

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, 8925 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8918 and 8925 is 7.

GCF(8918,8925) = 7

GCF of 8918 and 8925

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

GCF of:
and

Greatest Common Factor of 8918 and 8925

GCF of 8918 and 8925 is 7

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 8925


3 8925
5 2975
5 595
7 119
17 17
1

Prime factors of 8925 are 3,5,7,17. Prime factorization of 8925 in exponential form is:

8925 = 31×52×71×171

∴ So by taking common prime factors GCF of 8918 and 8925 is 7

Greatest Common Factor of 8918 and 8925 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 8925

List of positive integer factors of 8925 that divides 8925 without a remainder.

1,3,5,7,15,17,21,25,35,51,75,85,105,119,175,255,357,425,525,595,1275,1785,2975,8925

Greatest Common Factor

We found the factors and prime factorization of 8918 and 8925. The biggest common factor number is the GCF number.
So the greatest common factor 8918 and 8925 is 7.

Also check out the Least Common Multiple of 8918 and 8925

Properties of GCF 8918 and 8925

(i) The GCF of 8918 and 8925 is associative

GCF of 8918 and 8925 = GCF of 8925 and 8918

Related Greatest Common Factor of 8918

Related Greatest Common Factor of 8925

Frequently Asked Questions on GCF of 8918 and 8925

1. What is the GCF of 8918 and 8925?

Answer: GCF of 8918 and 8925 is 7.

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 8925?

Answer: Factors of 8925 are 1, 3, 5, 7, 15, 17, 21, 25, 35, 51, 75, 85, 105, 119, 175, 255, 357, 425, 525, 595, 1275, 1785, 2975, 8925. There are 24 integers that are factors of 8925. The greatest factor of 8925 is 8925.

4. How to Find the GCF of 8918 and 8925?

Answer:

Greatest Common Factor of 8918 and 8925 = 7

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 8925

8925 = 3 x 5 x 5 x 7 x 17

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 8918 and 8925 is 7