Greatest Common Factor of 5175 and 5180

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 5175, 5180 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5175 and 5180 is 5.

GCF(5175,5180) = 5

GCF of 5175 and 5180

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

GCF of:
and

Greatest Common Factor of 5175 and 5180

GCF of 5175 and 5180 is 5

Prime Factorization of 5175


3 5175
3 1725
5 575
5 115
23 23
1

Prime factors of 5175 are 3,5,23. Prime factorization of 5175 in exponential form is:

5175 = 32×52×231

Prime Factorization of 5180


2 5180
2 2590
5 1295
7 259
37 37
1

Prime factors of 5180 are 2,5,7,37. Prime factorization of 5180 in exponential form is:

5180 = 22×51×71×371

∴ So by taking common prime factors GCF of 5175 and 5180 is 5

Greatest Common Factor of 5175 and 5180 by matching factors method

Factors of 5175

List of positive integer factors of 5175 that divides 5175 without a remainder.

1,3,5,9,15,23,25,45,69,75,115,207,225,345,575,1035,1725,5175

Factors of 5180

List of positive integer factors of 5180 that divides 5180 without a remainder.

1,2,4,5,7,10,14,20,28,35,37,70,74,140,148,185,259,370,518,740,1036,1295,2590,5180

Greatest Common Factor

We found the factors and prime factorization of 5175 and 5180. The biggest common factor number is the GCF number.
So the greatest common factor 5175 and 5180 is 5.

Also check out the Least Common Multiple of 5175 and 5180

Properties of GCF 5175 and 5180

(i) The GCF of 5175 and 5180 is associative

GCF of 5175 and 5180 = GCF of 5180 and 5175

Related Greatest Common Factor of 5175

Related Greatest Common Factor of 5180

Frequently Asked Questions on GCF of 5175 and 5180

1. What is the GCF of 5175 and 5180?

Answer: GCF of 5175 and 5180 is 5.

2. What are the Factors of 5175?

Answer: Factors of 5175 are 1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725, 5175. There are 18 integers that are factors of 5175. The greatest factor of 5175 is 5175.

3. What are the Factors of 5180?

Answer: Factors of 5180 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 37, 70, 74, 140, 148, 185, 259, 370, 518, 740, 1036, 1295, 2590, 5180. There are 24 integers that are factors of 5180. The greatest factor of 5180 is 5180.

4. How to Find the GCF of 5175 and 5180?

Answer:

Greatest Common Factor of 5175 and 5180 = 5

Step 1: Find the prime factorization of 5175

5175 = 3 x 3 x 5 x 5 x 23

Step 2: Find the prime factorization of 5180

5180 = 2 x 2 x 5 x 7 x 37

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 5175 and 5180 is 5