Greatest Common Factor of 5160 and 5165

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 5160, 5165 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5160 and 5165 is 5.

GCF(5160,5165) = 5

GCF of 5160 and 5165

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

GCF of:
and

Greatest Common Factor of 5160 and 5165

GCF of 5160 and 5165 is 5

Prime Factorization of 5160


2 5160
2 2580
2 1290
3 645
5 215
43 43
1

Prime factors of 5160 are 2,3,5,43. Prime factorization of 5160 in exponential form is:

5160 = 23×31×51×431

Prime Factorization of 5165


5 5165
1033 1033
1

Prime factors of 5165 are 5,1033. Prime factorization of 5165 in exponential form is:

5165 = 51×10331

∴ So by taking common prime factors GCF of 5160 and 5165 is 5

Greatest Common Factor of 5160 and 5165 by matching factors method

Factors of 5160

List of positive integer factors of 5160 that divides 5160 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,43,60,86,120,129,172,215,258,344,430,516,645,860,1032,1290,1720,2580,5160

Factors of 5165

List of positive integer factors of 5165 that divides 5165 without a remainder.

1,5,1033,5165

Greatest Common Factor

We found the factors and prime factorization of 5160 and 5165. The biggest common factor number is the GCF number.
So the greatest common factor 5160 and 5165 is 5.

Also check out the Least Common Multiple of 5160 and 5165

Properties of GCF 5160 and 5165

(i) The GCF of 5160 and 5165 is associative

GCF of 5160 and 5165 = GCF of 5165 and 5160

Related Greatest Common Factor of 5160

Related Greatest Common Factor of 5165

Frequently Asked Questions on GCF of 5160 and 5165

1. What is the GCF of 5160 and 5165?

Answer: GCF of 5160 and 5165 is 5.

2. What are the Factors of 5160?

Answer: Factors of 5160 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 43, 60, 86, 120, 129, 172, 215, 258, 344, 430, 516, 645, 860, 1032, 1290, 1720, 2580, 5160. There are 32 integers that are factors of 5160. The greatest factor of 5160 is 5160.

3. What are the Factors of 5165?

Answer: Factors of 5165 are 1, 5, 1033, 5165. There are 4 integers that are factors of 5165. The greatest factor of 5165 is 5165.

4. How to Find the GCF of 5160 and 5165?

Answer:

Greatest Common Factor of 5160 and 5165 = 5

Step 1: Find the prime factorization of 5160

5160 = 2 x 2 x 2 x 3 x 5 x 43

Step 2: Find the prime factorization of 5165

5165 = 5 x 1033

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

GCF = 5

Step 4: Therefore, the greatest common factor of 5160 and 5165 is 5