Greatest Common Factor of 5180 and 5185

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 5180, 5185 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5180 and 5185 is 5.

GCF(5180,5185) = 5

GCF of 5180 and 5185

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

GCF of:
and

Greatest Common Factor of 5180 and 5185

GCF of 5180 and 5185 is 5

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

Prime Factorization of 5185


5 5185
17 1037
61 61
1

Prime factors of 5185 are 5,17,61. Prime factorization of 5185 in exponential form is:

5185 = 51×171×611

∴ So by taking common prime factors GCF of 5180 and 5185 is 5

Greatest Common Factor of 5180 and 5185 by matching factors method

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

Factors of 5185

List of positive integer factors of 5185 that divides 5185 without a remainder.

1,5,17,61,85,305,1037,5185

Greatest Common Factor

We found the factors and prime factorization of 5180 and 5185. The biggest common factor number is the GCF number.
So the greatest common factor 5180 and 5185 is 5.

Also check out the Least Common Multiple of 5180 and 5185

Properties of GCF 5180 and 5185

(i) The GCF of 5180 and 5185 is associative

GCF of 5180 and 5185 = GCF of 5185 and 5180

Related Greatest Common Factor of 5180

Related Greatest Common Factor of 5185

Frequently Asked Questions on GCF of 5180 and 5185

1. What is the GCF of 5180 and 5185?

Answer: GCF of 5180 and 5185 is 5.

2. 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.

3. What are the Factors of 5185?

Answer: Factors of 5185 are 1, 5, 17, 61, 85, 305, 1037, 5185. There are 8 integers that are factors of 5185. The greatest factor of 5185 is 5185.

4. How to Find the GCF of 5180 and 5185?

Answer:

Greatest Common Factor of 5180 and 5185 = 5

Step 1: Find the prime factorization of 5180

5180 = 2 x 2 x 5 x 7 x 37

Step 2: Find the prime factorization of 5185

5185 = 5 x 17 x 61

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 5180 and 5185 is 5