Greatest Common Factor of 6164 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 6164, 6168 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6164 and 6168 is 4.

GCF(6164,6168) = 4

GCF of 6164 and 6168

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

GCF of:
and

Greatest Common Factor of 6164 and 6168

GCF of 6164 and 6168 is 4

Prime Factorization of 6164


2 6164
2 3082
23 1541
67 67
1

Prime factors of 6164 are 2,23,67. Prime factorization of 6164 in exponential form is:

6164 = 22×231×671

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 6164 and 6168 is 4

Greatest Common Factor of 6164 and 6168 by matching factors method

Factors of 6164

List of positive integer factors of 6164 that divides 6164 without a remainder.

1,2,4,23,46,67,92,134,268,1541,3082,6164

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 6164 and 6168. The biggest common factor number is the GCF number.
So the greatest common factor 6164 and 6168 is 4.

Also check out the Least Common Multiple of 6164 and 6168

Properties of GCF 6164 and 6168

(i) The GCF of 6164 and 6168 is associative

GCF of 6164 and 6168 = GCF of 6168 and 6164

Related Greatest Common Factor of 6164

Related Greatest Common Factor of 6168

Frequently Asked Questions on GCF of 6164 and 6168

1. What is the GCF of 6164 and 6168?

Answer: GCF of 6164 and 6168 is 4.

2. What are the Factors of 6164?

Answer: Factors of 6164 are 1, 2, 4, 23, 46, 67, 92, 134, 268, 1541, 3082, 6164. There are 12 integers that are factors of 6164. The greatest factor of 6164 is 6164.

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 6164 and 6168?

Answer:

Greatest Common Factor of 6164 and 6168 = 4

Step 1: Find the prime factorization of 6164

6164 = 2 x 2 x 23 x 67

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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 6164 and 6168 is 4