Greatest Common Factor of 6168 and 6176

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, 6176 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6168 and 6176 is 8.

GCF(6168,6176) = 8

GCF of 6168 and 6176

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

GCF of:
and

Greatest Common Factor of 6168 and 6176

GCF of 6168 and 6176 is 8

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 6176


2 6176
2 3088
2 1544
2 772
2 386
193 193
1

Prime factors of 6176 are 2,193. Prime factorization of 6176 in exponential form is:

6176 = 25×1931

∴ So by taking common prime factors GCF of 6168 and 6176 is 8

Greatest Common Factor of 6168 and 6176 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 6176

List of positive integer factors of 6176 that divides 6176 without a remainder.

1,2,4,8,16,32,193,386,772,1544,3088,6176

Greatest Common Factor

We found the factors and prime factorization of 6168 and 6176. The biggest common factor number is the GCF number.
So the greatest common factor 6168 and 6176 is 8.

Also check out the Least Common Multiple of 6168 and 6176

Properties of GCF 6168 and 6176

(i) The GCF of 6168 and 6176 is associative

GCF of 6168 and 6176 = GCF of 6176 and 6168

Related Greatest Common Factor of 6168

Related Greatest Common Factor of 6176

Frequently Asked Questions on GCF of 6168 and 6176

1. What is the GCF of 6168 and 6176?

Answer: GCF of 6168 and 6176 is 8.

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 6176?

Answer: Factors of 6176 are 1, 2, 4, 8, 16, 32, 193, 386, 772, 1544, 3088, 6176. There are 12 integers that are factors of 6176. The greatest factor of 6176 is 6176.

4. How to Find the GCF of 6168 and 6176?

Answer:

Greatest Common Factor of 6168 and 6176 = 8

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 6176

6176 = 2 x 2 x 2 x 2 x 2 x 193

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 6168 and 6176 is 8