Greatest Common Factor of 6180 and 6188

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 6180, 6188 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6180 and 6188 is 4.

GCF(6180,6188) = 4

GCF of 6180 and 6188

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

GCF of:
and

Greatest Common Factor of 6180 and 6188

GCF of 6180 and 6188 is 4

Prime Factorization of 6180


2 6180
2 3090
3 1545
5 515
103 103
1

Prime factors of 6180 are 2,3,5,103. Prime factorization of 6180 in exponential form is:

6180 = 22×31×51×1031

Prime Factorization of 6188


2 6188
2 3094
7 1547
13 221
17 17
1

Prime factors of 6188 are 2,7,13,17. Prime factorization of 6188 in exponential form is:

6188 = 22×71×131×171

∴ So by taking common prime factors GCF of 6180 and 6188 is 4

Greatest Common Factor of 6180 and 6188 by matching factors method

Factors of 6180

List of positive integer factors of 6180 that divides 6180 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,103,206,309,412,515,618,1030,1236,1545,2060,3090,6180

Factors of 6188

List of positive integer factors of 6188 that divides 6188 without a remainder.

1,2,4,7,13,14,17,26,28,34,52,68,91,119,182,221,238,364,442,476,884,1547,3094,6188

Greatest Common Factor

We found the factors and prime factorization of 6180 and 6188. The biggest common factor number is the GCF number.
So the greatest common factor 6180 and 6188 is 4.

Also check out the Least Common Multiple of 6180 and 6188

Properties of GCF 6180 and 6188

(i) The GCF of 6180 and 6188 is associative

GCF of 6180 and 6188 = GCF of 6188 and 6180

Related Greatest Common Factor of 6180

Related Greatest Common Factor of 6188

Frequently Asked Questions on GCF of 6180 and 6188

1. What is the GCF of 6180 and 6188?

Answer: GCF of 6180 and 6188 is 4.

2. What are the Factors of 6180?

Answer: Factors of 6180 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 103, 206, 309, 412, 515, 618, 1030, 1236, 1545, 2060, 3090, 6180. There are 24 integers that are factors of 6180. The greatest factor of 6180 is 6180.

3. What are the Factors of 6188?

Answer: Factors of 6188 are 1, 2, 4, 7, 13, 14, 17, 26, 28, 34, 52, 68, 91, 119, 182, 221, 238, 364, 442, 476, 884, 1547, 3094, 6188. There are 24 integers that are factors of 6188. The greatest factor of 6188 is 6188.

4. How to Find the GCF of 6180 and 6188?

Answer:

Greatest Common Factor of 6180 and 6188 = 4

Step 1: Find the prime factorization of 6180

6180 = 2 x 2 x 3 x 5 x 103

Step 2: Find the prime factorization of 6188

6188 = 2 x 2 x 7 x 13 x 17

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 6180 and 6188 is 4