Greatest Common Factor of 7160 and 7165

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 7160, 7165 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7160 and 7165 is 5.

GCF(7160,7165) = 5

GCF of 7160 and 7165

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

GCF of:
and

Greatest Common Factor of 7160 and 7165

GCF of 7160 and 7165 is 5

Prime Factorization of 7160


2 7160
2 3580
2 1790
5 895
179 179
1

Prime factors of 7160 are 2,5,179. Prime factorization of 7160 in exponential form is:

7160 = 23×51×1791

Prime Factorization of 7165


5 7165
1433 1433
1

Prime factors of 7165 are 5,1433. Prime factorization of 7165 in exponential form is:

7165 = 51×14331

∴ So by taking common prime factors GCF of 7160 and 7165 is 5

Greatest Common Factor of 7160 and 7165 by matching factors method

Factors of 7160

List of positive integer factors of 7160 that divides 7160 without a remainder.

1,2,4,5,8,10,20,40,179,358,716,895,1432,1790,3580,7160

Factors of 7165

List of positive integer factors of 7165 that divides 7165 without a remainder.

1,5,1433,7165

Greatest Common Factor

We found the factors and prime factorization of 7160 and 7165. The biggest common factor number is the GCF number.
So the greatest common factor 7160 and 7165 is 5.

Also check out the Least Common Multiple of 7160 and 7165

Properties of GCF 7160 and 7165

(i) The GCF of 7160 and 7165 is associative

GCF of 7160 and 7165 = GCF of 7165 and 7160

Related Greatest Common Factor of 7160

Related Greatest Common Factor of 7165

Frequently Asked Questions on GCF of 7160 and 7165

1. What is the GCF of 7160 and 7165?

Answer: GCF of 7160 and 7165 is 5.

2. What are the Factors of 7160?

Answer: Factors of 7160 are 1, 2, 4, 5, 8, 10, 20, 40, 179, 358, 716, 895, 1432, 1790, 3580, 7160. There are 16 integers that are factors of 7160. The greatest factor of 7160 is 7160.

3. What are the Factors of 7165?

Answer: Factors of 7165 are 1, 5, 1433, 7165. There are 4 integers that are factors of 7165. The greatest factor of 7165 is 7165.

4. How to Find the GCF of 7160 and 7165?

Answer:

Greatest Common Factor of 7160 and 7165 = 5

Step 1: Find the prime factorization of 7160

7160 = 2 x 2 x 2 x 5 x 179

Step 2: Find the prime factorization of 7165

7165 = 5 x 1433

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

GCF = 5

Step 4: Therefore, the greatest common factor of 7160 and 7165 is 5