Greatest Common Factor of 7188 and 7196

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, 7196 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7188 and 7196 is 4.

GCF(7188,7196) = 4

GCF of 7188 and 7196

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

GCF of:
and

Greatest Common Factor of 7188 and 7196

GCF of 7188 and 7196 is 4

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 7196


2 7196
2 3598
7 1799
257 257
1

Prime factors of 7196 are 2,7,257. Prime factorization of 7196 in exponential form is:

7196 = 22×71×2571

∴ So by taking common prime factors GCF of 7188 and 7196 is 4

Greatest Common Factor of 7188 and 7196 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 7196

List of positive integer factors of 7196 that divides 7196 without a remainder.

1,2,4,7,14,28,257,514,1028,1799,3598,7196

Greatest Common Factor

We found the factors and prime factorization of 7188 and 7196. The biggest common factor number is the GCF number.
So the greatest common factor 7188 and 7196 is 4.

Also check out the Least Common Multiple of 7188 and 7196

Properties of GCF 7188 and 7196

(i) The GCF of 7188 and 7196 is associative

GCF of 7188 and 7196 = GCF of 7196 and 7188

Related Greatest Common Factor of 7188

Related Greatest Common Factor of 7196

Frequently Asked Questions on GCF of 7188 and 7196

1. What is the GCF of 7188 and 7196?

Answer: GCF of 7188 and 7196 is 4.

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 7196?

Answer: Factors of 7196 are 1, 2, 4, 7, 14, 28, 257, 514, 1028, 1799, 3598, 7196. There are 12 integers that are factors of 7196. The greatest factor of 7196 is 7196.

4. How to Find the GCF of 7188 and 7196?

Answer:

Greatest Common Factor of 7188 and 7196 = 4

Step 1: Find the prime factorization of 7188

7188 = 2 x 2 x 3 x 599

Step 2: Find the prime factorization of 7196

7196 = 2 x 2 x 7 x 257

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 7188 and 7196 is 4