Greatest Common Factor of 7185 and 7188

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 7185, 7188 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7185 and 7188 is 3.

GCF(7185,7188) = 3

GCF of 7185 and 7188

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

GCF of:
and

Greatest Common Factor of 7185 and 7188

GCF of 7185 and 7188 is 3

Prime Factorization of 7185


3 7185
5 2395
479 479
1

Prime factors of 7185 are 3,5,479. Prime factorization of 7185 in exponential form is:

7185 = 31×51×4791

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

∴ So by taking common prime factors GCF of 7185 and 7188 is 3

Greatest Common Factor of 7185 and 7188 by matching factors method

Factors of 7185

List of positive integer factors of 7185 that divides 7185 without a remainder.

1,3,5,15,479,1437,2395,7185

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

Greatest Common Factor

We found the factors and prime factorization of 7185 and 7188. The biggest common factor number is the GCF number.
So the greatest common factor 7185 and 7188 is 3.

Also check out the Least Common Multiple of 7185 and 7188

Properties of GCF 7185 and 7188

(i) The GCF of 7185 and 7188 is associative

GCF of 7185 and 7188 = GCF of 7188 and 7185

Related Greatest Common Factor of 7185

Related Greatest Common Factor of 7188

Frequently Asked Questions on GCF of 7185 and 7188

1. What is the GCF of 7185 and 7188?

Answer: GCF of 7185 and 7188 is 3.

2. What are the Factors of 7185?

Answer: Factors of 7185 are 1, 3, 5, 15, 479, 1437, 2395, 7185. There are 8 integers that are factors of 7185. The greatest factor of 7185 is 7185.

3. 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.

4. How to Find the GCF of 7185 and 7188?

Answer:

Greatest Common Factor of 7185 and 7188 = 3

Step 1: Find the prime factorization of 7185

7185 = 3 x 5 x 479

Step 2: Find the prime factorization of 7188

7188 = 2 x 2 x 3 x 599

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 7185 and 7188 is 3