Greatest Common Factor of 7188 and 7191

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 7188, 7191 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7188 and 7191 is 3.

GCF(7188,7191) = 3

GCF of 7188 and 7191

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

GCF of:
and

Greatest Common Factor of 7188 and 7191

GCF of 7188 and 7191 is 3

Prime Factorization of 7188


2 7188
2 3594
3 1797
599 599
1

Prime factors of 7188 are 2,3,599. Prime factorization of 7188 in exponential form is:

7188 = 22×31×5991

Prime Factorization of 7191


3 7191
3 2397
17 799
47 47
1

Prime factors of 7191 are 3,17,47. Prime factorization of 7191 in exponential form is:

7191 = 32×171×471

∴ So by taking common prime factors GCF of 7188 and 7191 is 3

Greatest Common Factor of 7188 and 7191 by matching factors method

Factors of 7188

List of positive integer factors of 7188 that divides 7188 without a remainder.

1,2,3,4,6,12,599,1198,1797,2396,3594,7188

Factors of 7191

List of positive integer factors of 7191 that divides 7191 without a remainder.

1,3,9,17,47,51,141,153,423,799,2397,7191

Greatest Common Factor

We found the factors and prime factorization of 7188 and 7191. The biggest common factor number is the GCF number.
So the greatest common factor 7188 and 7191 is 3.

Also check out the Least Common Multiple of 7188 and 7191

Properties of GCF 7188 and 7191

(i) The GCF of 7188 and 7191 is associative

GCF of 7188 and 7191 = GCF of 7191 and 7188

Related Greatest Common Factor of 7188

Related Greatest Common Factor of 7191

Frequently Asked Questions on GCF of 7188 and 7191

1. What is the GCF of 7188 and 7191?

Answer: GCF of 7188 and 7191 is 3.

2. What are the Factors of 7188?

Answer: Factors of 7188 are 1, 2, 3, 4, 6, 12, 599, 1198, 1797, 2396, 3594, 7188. There are 12 integers that are factors of 7188. The greatest factor of 7188 is 7188.

3. What are the Factors of 7191?

Answer: Factors of 7191 are 1, 3, 9, 17, 47, 51, 141, 153, 423, 799, 2397, 7191. There are 12 integers that are factors of 7191. The greatest factor of 7191 is 7191.

4. How to Find the GCF of 7188 and 7191?

Answer:

Greatest Common Factor of 7188 and 7191 = 3

Step 1: Find the prime factorization of 7188

7188 = 2 x 2 x 3 x 599

Step 2: Find the prime factorization of 7191

7191 = 3 x 3 x 17 x 47

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 7188 and 7191 is 3