Greatest Common Factor of 5164 and 5170

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, 5170 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5164 and 5170 is 2.

GCF(5164,5170) = 2

GCF of 5164 and 5170

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

GCF of:
and

Greatest Common Factor of 5164 and 5170

GCF of 5164 and 5170 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 5170


2 5170
5 2585
11 517
47 47
1

Prime factors of 5170 are 2,5,11,47. Prime factorization of 5170 in exponential form is:

5170 = 21×51×111×471

∴ So by taking common prime factors GCF of 5164 and 5170 is 2

Greatest Common Factor of 5164 and 5170 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 5170

List of positive integer factors of 5170 that divides 5170 without a remainder.

1,2,5,10,11,22,47,55,94,110,235,470,517,1034,2585,5170

Greatest Common Factor

We found the factors and prime factorization of 5164 and 5170. The biggest common factor number is the GCF number.
So the greatest common factor 5164 and 5170 is 2.

Also check out the Least Common Multiple of 5164 and 5170

Properties of GCF 5164 and 5170

(i) The GCF of 5164 and 5170 is associative

GCF of 5164 and 5170 = GCF of 5170 and 5164

Related Greatest Common Factor of 5164

Related Greatest Common Factor of 5170

Frequently Asked Questions on GCF of 5164 and 5170

1. What is the GCF of 5164 and 5170?

Answer: GCF of 5164 and 5170 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 5170?

Answer: Factors of 5170 are 1, 2, 5, 10, 11, 22, 47, 55, 94, 110, 235, 470, 517, 1034, 2585, 5170. There are 16 integers that are factors of 5170. The greatest factor of 5170 is 5170.

4. How to Find the GCF of 5164 and 5170?

Answer:

Greatest Common Factor of 5164 and 5170 = 2

Step 1: Find the prime factorization of 5164

5164 = 2 x 2 x 1291

Step 2: Find the prime factorization of 5170

5170 = 2 x 5 x 11 x 47

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 5170 is 2