Greatest Common Factor of 5164 and 5166

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, 5166 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5164 and 5166 is 2.

GCF(5164,5166) = 2

GCF of 5164 and 5166

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

GCF of:
and

Greatest Common Factor of 5164 and 5166

GCF of 5164 and 5166 is 2

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 5166


2 5166
3 2583
3 861
7 287
41 41
1

Prime factors of 5166 are 2,3,7,41. Prime factorization of 5166 in exponential form is:

5166 = 21×32×71×411

∴ So by taking common prime factors GCF of 5164 and 5166 is 2

Greatest Common Factor of 5164 and 5166 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 5166

List of positive integer factors of 5166 that divides 5166 without a remainder.

1,2,3,6,7,9,14,18,21,41,42,63,82,123,126,246,287,369,574,738,861,1722,2583,5166

Greatest Common Factor

We found the factors and prime factorization of 5164 and 5166. The biggest common factor number is the GCF number.
So the greatest common factor 5164 and 5166 is 2.

Also check out the Least Common Multiple of 5164 and 5166

Properties of GCF 5164 and 5166

(i) The GCF of 5164 and 5166 is associative

GCF of 5164 and 5166 = GCF of 5166 and 5164

Related Greatest Common Factor of 5164

Related Greatest Common Factor of 5166

Frequently Asked Questions on GCF of 5164 and 5166

1. What is the GCF of 5164 and 5166?

Answer: GCF of 5164 and 5166 is 2.

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 5166?

Answer: Factors of 5166 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 41, 42, 63, 82, 123, 126, 246, 287, 369, 574, 738, 861, 1722, 2583, 5166. There are 24 integers that are factors of 5166. The greatest factor of 5166 is 5166.

4. How to Find the GCF of 5164 and 5166?

Answer:

Greatest Common Factor of 5164 and 5166 = 2

Step 1: Find the prime factorization of 5164

5164 = 2 x 2 x 1291

Step 2: Find the prime factorization of 5166

5166 = 2 x 3 x 3 x 7 x 41

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5164 and 5166 is 2