Greatest Common Factor of 6168 and 6174

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 6168, 6174 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6168 and 6174 is 6.

GCF(6168,6174) = 6

GCF of 6168 and 6174

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

GCF of:
and

Greatest Common Factor of 6168 and 6174

GCF of 6168 and 6174 is 6

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

Prime Factorization of 6174


2 6174
3 3087
3 1029
7 343
7 49
7 7
1

Prime factors of 6174 are 2,3,7. Prime factorization of 6174 in exponential form is:

6174 = 21×32×73

∴ So by taking common prime factors GCF of 6168 and 6174 is 6

Greatest Common Factor of 6168 and 6174 by matching factors method

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

Factors of 6174

List of positive integer factors of 6174 that divides 6174 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,343,441,686,882,1029,2058,3087,6174

Greatest Common Factor

We found the factors and prime factorization of 6168 and 6174. The biggest common factor number is the GCF number.
So the greatest common factor 6168 and 6174 is 6.

Also check out the Least Common Multiple of 6168 and 6174

Properties of GCF 6168 and 6174

(i) The GCF of 6168 and 6174 is associative

GCF of 6168 and 6174 = GCF of 6174 and 6168

Related Greatest Common Factor of 6168

Related Greatest Common Factor of 6174

Frequently Asked Questions on GCF of 6168 and 6174

1. What is the GCF of 6168 and 6174?

Answer: GCF of 6168 and 6174 is 6.

2. 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.

3. What are the Factors of 6174?

Answer: Factors of 6174 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 343, 441, 686, 882, 1029, 2058, 3087, 6174. There are 24 integers that are factors of 6174. The greatest factor of 6174 is 6174.

4. How to Find the GCF of 6168 and 6174?

Answer:

Greatest Common Factor of 6168 and 6174 = 6

Step 1: Find the prime factorization of 6168

6168 = 2 x 2 x 2 x 3 x 257

Step 2: Find the prime factorization of 6174

6174 = 2 x 3 x 3 x 7 x 7 x 7

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 6168 and 6174 is 6