Greatest Common Factor of 7175 and 7180

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 7175, 7180 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7175 and 7180 is 5.

GCF(7175,7180) = 5

GCF of 7175 and 7180

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

GCF of:
and

Greatest Common Factor of 7175 and 7180

GCF of 7175 and 7180 is 5

Prime Factorization of 7175


5 7175
5 1435
7 287
41 41
1

Prime factors of 7175 are 5,7,41. Prime factorization of 7175 in exponential form is:

7175 = 52×71×411

Prime Factorization of 7180


2 7180
2 3590
5 1795
359 359
1

Prime factors of 7180 are 2,5,359. Prime factorization of 7180 in exponential form is:

7180 = 22×51×3591

∴ So by taking common prime factors GCF of 7175 and 7180 is 5

Greatest Common Factor of 7175 and 7180 by matching factors method

Factors of 7175

List of positive integer factors of 7175 that divides 7175 without a remainder.

1,5,7,25,35,41,175,205,287,1025,1435,7175

Factors of 7180

List of positive integer factors of 7180 that divides 7180 without a remainder.

1,2,4,5,10,20,359,718,1436,1795,3590,7180

Greatest Common Factor

We found the factors and prime factorization of 7175 and 7180. The biggest common factor number is the GCF number.
So the greatest common factor 7175 and 7180 is 5.

Also check out the Least Common Multiple of 7175 and 7180

Properties of GCF 7175 and 7180

(i) The GCF of 7175 and 7180 is associative

GCF of 7175 and 7180 = GCF of 7180 and 7175

Related Greatest Common Factor of 7175

Related Greatest Common Factor of 7180

Frequently Asked Questions on GCF of 7175 and 7180

1. What is the GCF of 7175 and 7180?

Answer: GCF of 7175 and 7180 is 5.

2. What are the Factors of 7175?

Answer: Factors of 7175 are 1, 5, 7, 25, 35, 41, 175, 205, 287, 1025, 1435, 7175. There are 12 integers that are factors of 7175. The greatest factor of 7175 is 7175.

3. What are the Factors of 7180?

Answer: Factors of 7180 are 1, 2, 4, 5, 10, 20, 359, 718, 1436, 1795, 3590, 7180. There are 12 integers that are factors of 7180. The greatest factor of 7180 is 7180.

4. How to Find the GCF of 7175 and 7180?

Answer:

Greatest Common Factor of 7175 and 7180 = 5

Step 1: Find the prime factorization of 7175

7175 = 5 x 5 x 7 x 41

Step 2: Find the prime factorization of 7180

7180 = 2 x 2 x 5 x 359

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 7175 and 7180 is 5