Greatest Common Factor of 6180 and 6186

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, 6186 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6180 and 6186 is 6.

GCF(6180,6186) = 6

GCF of 6180 and 6186

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

GCF of:
and

Greatest Common Factor of 6180 and 6186

GCF of 6180 and 6186 is 6

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 6186


2 6186
3 3093
1031 1031
1

Prime factors of 6186 are 2,3,1031. Prime factorization of 6186 in exponential form is:

6186 = 21×31×10311

∴ So by taking common prime factors GCF of 6180 and 6186 is 6

Greatest Common Factor of 6180 and 6186 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 6186

List of positive integer factors of 6186 that divides 6186 without a remainder.

1,2,3,6,1031,2062,3093,6186

Greatest Common Factor

We found the factors and prime factorization of 6180 and 6186. The biggest common factor number is the GCF number.
So the greatest common factor 6180 and 6186 is 6.

Also check out the Least Common Multiple of 6180 and 6186

Properties of GCF 6180 and 6186

(i) The GCF of 6180 and 6186 is associative

GCF of 6180 and 6186 = GCF of 6186 and 6180

Related Greatest Common Factor of 6180

Related Greatest Common Factor of 6186

Frequently Asked Questions on GCF of 6180 and 6186

1. What is the GCF of 6180 and 6186?

Answer: GCF of 6180 and 6186 is 6.

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 6186?

Answer: Factors of 6186 are 1, 2, 3, 6, 1031, 2062, 3093, 6186. There are 8 integers that are factors of 6186. The greatest factor of 6186 is 6186.

4. How to Find the GCF of 6180 and 6186?

Answer:

Greatest Common Factor of 6180 and 6186 = 6

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 6186

6186 = 2 x 3 x 1031

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6180 and 6186 is 6