Greatest Common Factor of 5164 and 5168

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 5164, 5168 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5164 and 5168 is 4.

GCF(5164,5168) = 4

GCF of 5164 and 5168

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

GCF of:
and

Greatest Common Factor of 5164 and 5168

GCF of 5164 and 5168 is 4

Prime Factorization of 5164


2 5164
2 2582
1291 1291
1

Prime factors of 5164 are 2,1291. Prime factorization of 5164 in exponential form is:

5164 = 22×12911

Prime Factorization of 5168


2 5168
2 2584
2 1292
2 646
17 323
19 19
1

Prime factors of 5168 are 2,17,19. Prime factorization of 5168 in exponential form is:

5168 = 24×171×191

∴ So by taking common prime factors GCF of 5164 and 5168 is 4

Greatest Common Factor of 5164 and 5168 by matching factors method

Factors of 5164

List of positive integer factors of 5164 that divides 5164 without a remainder.

1,2,4,1291,2582,5164

Factors of 5168

List of positive integer factors of 5168 that divides 5168 without a remainder.

1,2,4,8,16,17,19,34,38,68,76,136,152,272,304,323,646,1292,2584,5168

Greatest Common Factor

We found the factors and prime factorization of 5164 and 5168. The biggest common factor number is the GCF number.
So the greatest common factor 5164 and 5168 is 4.

Also check out the Least Common Multiple of 5164 and 5168

Properties of GCF 5164 and 5168

(i) The GCF of 5164 and 5168 is associative

GCF of 5164 and 5168 = GCF of 5168 and 5164

Related Greatest Common Factor of 5164

Related Greatest Common Factor of 5168

Frequently Asked Questions on GCF of 5164 and 5168

1. What is the GCF of 5164 and 5168?

Answer: GCF of 5164 and 5168 is 4.

2. What are the Factors of 5164?

Answer: Factors of 5164 are 1, 2, 4, 1291, 2582, 5164. There are 6 integers that are factors of 5164. The greatest factor of 5164 is 5164.

3. What are the Factors of 5168?

Answer: Factors of 5168 are 1, 2, 4, 8, 16, 17, 19, 34, 38, 68, 76, 136, 152, 272, 304, 323, 646, 1292, 2584, 5168. There are 20 integers that are factors of 5168. The greatest factor of 5168 is 5168.

4. How to Find the GCF of 5164 and 5168?

Answer:

Greatest Common Factor of 5164 and 5168 = 4

Step 1: Find the prime factorization of 5164

5164 = 2 x 2 x 1291

Step 2: Find the prime factorization of 5168

5168 = 2 x 2 x 2 x 2 x 17 x 19

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 5164 and 5168 is 4