Greatest Common Factor of 5180 and 5188

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, 5188 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5180 and 5188 is 4.

GCF(5180,5188) = 4

GCF of 5180 and 5188

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

GCF of:
and

Greatest Common Factor of 5180 and 5188

GCF of 5180 and 5188 is 4

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 5188


2 5188
2 2594
1297 1297
1

Prime factors of 5188 are 2,1297. Prime factorization of 5188 in exponential form is:

5188 = 22×12971

∴ So by taking common prime factors GCF of 5180 and 5188 is 4

Greatest Common Factor of 5180 and 5188 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 5188

List of positive integer factors of 5188 that divides 5188 without a remainder.

1,2,4,1297,2594,5188

Greatest Common Factor

We found the factors and prime factorization of 5180 and 5188. The biggest common factor number is the GCF number.
So the greatest common factor 5180 and 5188 is 4.

Also check out the Least Common Multiple of 5180 and 5188

Properties of GCF 5180 and 5188

(i) The GCF of 5180 and 5188 is associative

GCF of 5180 and 5188 = GCF of 5188 and 5180

Related Greatest Common Factor of 5180

Related Greatest Common Factor of 5188

Frequently Asked Questions on GCF of 5180 and 5188

1. What is the GCF of 5180 and 5188?

Answer: GCF of 5180 and 5188 is 4.

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 5188?

Answer: Factors of 5188 are 1, 2, 4, 1297, 2594, 5188. There are 6 integers that are factors of 5188. The greatest factor of 5188 is 5188.

4. How to Find the GCF of 5180 and 5188?

Answer:

Greatest Common Factor of 5180 and 5188 = 4

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 5188

5188 = 2 x 2 x 1297

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 5180 and 5188 is 4