Greatest Common Factor of 4164 and 4168

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 4164, 4168 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4164 and 4168 is 4.

GCF(4164,4168) = 4

GCF of 4164 and 4168

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

GCF of:
and

Greatest Common Factor of 4164 and 4168

GCF of 4164 and 4168 is 4

Prime Factorization of 4164


2 4164
2 2082
3 1041
347 347
1

Prime factors of 4164 are 2,3,347. Prime factorization of 4164 in exponential form is:

4164 = 22×31×3471

Prime Factorization of 4168


2 4168
2 2084
2 1042
521 521
1

Prime factors of 4168 are 2,521. Prime factorization of 4168 in exponential form is:

4168 = 23×5211

∴ So by taking common prime factors GCF of 4164 and 4168 is 4

Greatest Common Factor of 4164 and 4168 by matching factors method

Factors of 4164

List of positive integer factors of 4164 that divides 4164 without a remainder.

1,2,3,4,6,12,347,694,1041,1388,2082,4164

Factors of 4168

List of positive integer factors of 4168 that divides 4168 without a remainder.

1,2,4,8,521,1042,2084,4168

Greatest Common Factor

We found the factors and prime factorization of 4164 and 4168. The biggest common factor number is the GCF number.
So the greatest common factor 4164 and 4168 is 4.

Also check out the Least Common Multiple of 4164 and 4168

Properties of GCF 4164 and 4168

(i) The GCF of 4164 and 4168 is associative

GCF of 4164 and 4168 = GCF of 4168 and 4164

Related Greatest Common Factor of 4164

Related Greatest Common Factor of 4168

Frequently Asked Questions on GCF of 4164 and 4168

1. What is the GCF of 4164 and 4168?

Answer: GCF of 4164 and 4168 is 4.

2. What are the Factors of 4164?

Answer: Factors of 4164 are 1, 2, 3, 4, 6, 12, 347, 694, 1041, 1388, 2082, 4164. There are 12 integers that are factors of 4164. The greatest factor of 4164 is 4164.

3. What are the Factors of 4168?

Answer: Factors of 4168 are 1, 2, 4, 8, 521, 1042, 2084, 4168. There are 8 integers that are factors of 4168. The greatest factor of 4168 is 4168.

4. How to Find the GCF of 4164 and 4168?

Answer:

Greatest Common Factor of 4164 and 4168 = 4

Step 1: Find the prime factorization of 4164

4164 = 2 x 2 x 3 x 347

Step 2: Find the prime factorization of 4168

4168 = 2 x 2 x 2 x 521

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 4164 and 4168 is 4