Greatest Common Factor of 5181 and 5187

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 5181, 5187 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5181 and 5187 is 3.

GCF(5181,5187) = 3

GCF of 5181 and 5187

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

GCF of:
and

Greatest Common Factor of 5181 and 5187

GCF of 5181 and 5187 is 3

Prime Factorization of 5181


3 5181
11 1727
157 157
1

Prime factors of 5181 are 3,11,157. Prime factorization of 5181 in exponential form is:

5181 = 31×111×1571

Prime Factorization of 5187


3 5187
7 1729
13 247
19 19
1

Prime factors of 5187 are 3,7,13,19. Prime factorization of 5187 in exponential form is:

5187 = 31×71×131×191

∴ So by taking common prime factors GCF of 5181 and 5187 is 3

Greatest Common Factor of 5181 and 5187 by matching factors method

Factors of 5181

List of positive integer factors of 5181 that divides 5181 without a remainder.

1,3,11,33,157,471,1727,5181

Factors of 5187

List of positive integer factors of 5187 that divides 5187 without a remainder.

1,3,7,13,19,21,39,57,91,133,247,273,399,741,1729,5187

Greatest Common Factor

We found the factors and prime factorization of 5181 and 5187. The biggest common factor number is the GCF number.
So the greatest common factor 5181 and 5187 is 3.

Also check out the Least Common Multiple of 5181 and 5187

Properties of GCF 5181 and 5187

(i) The GCF of 5181 and 5187 is associative

GCF of 5181 and 5187 = GCF of 5187 and 5181

Related Greatest Common Factor of 5181

Related Greatest Common Factor of 5187

Frequently Asked Questions on GCF of 5181 and 5187

1. What is the GCF of 5181 and 5187?

Answer: GCF of 5181 and 5187 is 3.

2. What are the Factors of 5181?

Answer: Factors of 5181 are 1, 3, 11, 33, 157, 471, 1727, 5181. There are 8 integers that are factors of 5181. The greatest factor of 5181 is 5181.

3. What are the Factors of 5187?

Answer: Factors of 5187 are 1, 3, 7, 13, 19, 21, 39, 57, 91, 133, 247, 273, 399, 741, 1729, 5187. There are 16 integers that are factors of 5187. The greatest factor of 5187 is 5187.

4. How to Find the GCF of 5181 and 5187?

Answer:

Greatest Common Factor of 5181 and 5187 = 3

Step 1: Find the prime factorization of 5181

5181 = 3 x 11 x 157

Step 2: Find the prime factorization of 5187

5187 = 3 x 7 x 13 x 19

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

GCF = 3

Step 4: Therefore, the greatest common factor of 5181 and 5187 is 3