Greatest Common Factor of 7089 and 7095

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 7089, 7095 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7089 and 7095 is 3.

GCF(7089,7095) = 3

GCF of 7089 and 7095

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

GCF of:
and

Greatest Common Factor of 7089 and 7095

GCF of 7089 and 7095 is 3

Prime Factorization of 7089


3 7089
17 2363
139 139
1

Prime factors of 7089 are 3,17,139. Prime factorization of 7089 in exponential form is:

7089 = 31×171×1391

Prime Factorization of 7095


3 7095
5 2365
11 473
43 43
1

Prime factors of 7095 are 3,5,11,43. Prime factorization of 7095 in exponential form is:

7095 = 31×51×111×431

∴ So by taking common prime factors GCF of 7089 and 7095 is 3

Greatest Common Factor of 7089 and 7095 by matching factors method

Factors of 7089

List of positive integer factors of 7089 that divides 7089 without a remainder.

1,3,17,51,139,417,2363,7089

Factors of 7095

List of positive integer factors of 7095 that divides 7095 without a remainder.

1,3,5,11,15,33,43,55,129,165,215,473,645,1419,2365,7095

Greatest Common Factor

We found the factors and prime factorization of 7089 and 7095. The biggest common factor number is the GCF number.
So the greatest common factor 7089 and 7095 is 3.

Also check out the Least Common Multiple of 7089 and 7095

Properties of GCF 7089 and 7095

(i) The GCF of 7089 and 7095 is associative

GCF of 7089 and 7095 = GCF of 7095 and 7089

Related Greatest Common Factor of 7089

Related Greatest Common Factor of 7095

Frequently Asked Questions on GCF of 7089 and 7095

1. What is the GCF of 7089 and 7095?

Answer: GCF of 7089 and 7095 is 3.

2. What are the Factors of 7089?

Answer: Factors of 7089 are 1, 3, 17, 51, 139, 417, 2363, 7089. There are 8 integers that are factors of 7089. The greatest factor of 7089 is 7089.

3. What are the Factors of 7095?

Answer: Factors of 7095 are 1, 3, 5, 11, 15, 33, 43, 55, 129, 165, 215, 473, 645, 1419, 2365, 7095. There are 16 integers that are factors of 7095. The greatest factor of 7095 is 7095.

4. How to Find the GCF of 7089 and 7095?

Answer:

Greatest Common Factor of 7089 and 7095 = 3

Step 1: Find the prime factorization of 7089

7089 = 3 x 17 x 139

Step 2: Find the prime factorization of 7095

7095 = 3 x 5 x 11 x 43

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 7089 and 7095 is 3