Greatest Common Factor of 6165 and 6168

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 6165, 6168 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6165 and 6168 is 3.

GCF(6165,6168) = 3

GCF of 6165 and 6168

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

GCF of:
and

Greatest Common Factor of 6165 and 6168

GCF of 6165 and 6168 is 3

Prime Factorization of 6165


3 6165
3 2055
5 685
137 137
1

Prime factors of 6165 are 3,5,137. Prime factorization of 6165 in exponential form is:

6165 = 32×51×1371

Prime Factorization of 6168


2 6168
2 3084
2 1542
3 771
257 257
1

Prime factors of 6168 are 2,3,257. Prime factorization of 6168 in exponential form is:

6168 = 23×31×2571

∴ So by taking common prime factors GCF of 6165 and 6168 is 3

Greatest Common Factor of 6165 and 6168 by matching factors method

Factors of 6165

List of positive integer factors of 6165 that divides 6165 without a remainder.

1,3,5,9,15,45,137,411,685,1233,2055,6165

Factors of 6168

List of positive integer factors of 6168 that divides 6168 without a remainder.

1,2,3,4,6,8,12,24,257,514,771,1028,1542,2056,3084,6168

Greatest Common Factor

We found the factors and prime factorization of 6165 and 6168. The biggest common factor number is the GCF number.
So the greatest common factor 6165 and 6168 is 3.

Also check out the Least Common Multiple of 6165 and 6168

Properties of GCF 6165 and 6168

(i) The GCF of 6165 and 6168 is associative

GCF of 6165 and 6168 = GCF of 6168 and 6165

Related Greatest Common Factor of 6165

Related Greatest Common Factor of 6168

Frequently Asked Questions on GCF of 6165 and 6168

1. What is the GCF of 6165 and 6168?

Answer: GCF of 6165 and 6168 is 3.

2. What are the Factors of 6165?

Answer: Factors of 6165 are 1, 3, 5, 9, 15, 45, 137, 411, 685, 1233, 2055, 6165. There are 12 integers that are factors of 6165. The greatest factor of 6165 is 6165.

3. What are the Factors of 6168?

Answer: Factors of 6168 are 1, 2, 3, 4, 6, 8, 12, 24, 257, 514, 771, 1028, 1542, 2056, 3084, 6168. There are 16 integers that are factors of 6168. The greatest factor of 6168 is 6168.

4. How to Find the GCF of 6165 and 6168?

Answer:

Greatest Common Factor of 6165 and 6168 = 3

Step 1: Find the prime factorization of 6165

6165 = 3 x 3 x 5 x 137

Step 2: Find the prime factorization of 6168

6168 = 2 x 2 x 2 x 3 x 257

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 6165 and 6168 is 3