Greatest Common Factor of 5180 and 5183

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, 5183 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5180 and 5183 is 1.

GCF(5180,5183) = 1

GCF of 5180 and 5183

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

GCF of:
and

Greatest Common Factor of 5180 and 5183

GCF of 5180 and 5183 is 1

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 5183


71 5183
73 73
1

Prime factors of 5183 are 71,73. Prime factorization of 5183 in exponential form is:

5183 = 711×731

∴ So by taking common prime factors GCF of 5180 and 5183 is 1

Greatest Common Factor of 5180 and 5183 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 5183

List of positive integer factors of 5183 that divides 5183 without a remainder.

1,71,73,5183

Greatest Common Factor

We found the factors and prime factorization of 5180 and 5183. The biggest common factor number is the GCF number.
So the greatest common factor 5180 and 5183 is 1.

Also check out the Least Common Multiple of 5180 and 5183

Properties of GCF 5180 and 5183

(i) The GCF of 5180 and 5183 is associative

GCF of 5180 and 5183 = GCF of 5183 and 5180

Related Greatest Common Factor of 5180

Related Greatest Common Factor of 5183

Frequently Asked Questions on GCF of 5180 and 5183

1. What is the GCF of 5180 and 5183?

Answer: GCF of 5180 and 5183 is 1.

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 5183?

Answer: Factors of 5183 are 1, 71, 73, 5183. There are 4 integers that are factors of 5183. The greatest factor of 5183 is 5183.

4. How to Find the GCF of 5180 and 5183?

Answer:

Greatest Common Factor of 5180 and 5183 = 1

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 5183

5183 = 71 x 73

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5180 and 5183 is 1