Greatest Common Factor of 5158 and 5160

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 5158, 5160 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5158 and 5160 is 2.

GCF(5158,5160) = 2

GCF of 5158 and 5160

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

GCF of:
and

Greatest Common Factor of 5158 and 5160

GCF of 5158 and 5160 is 2

Prime Factorization of 5158


2 5158
2579 2579
1

Prime factors of 5158 are 2,2579. Prime factorization of 5158 in exponential form is:

5158 = 21×25791

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

∴ So by taking common prime factors GCF of 5158 and 5160 is 2

Greatest Common Factor of 5158 and 5160 by matching factors method

Factors of 5158

List of positive integer factors of 5158 that divides 5158 without a remainder.

1,2,2579,5158

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

Greatest Common Factor

We found the factors and prime factorization of 5158 and 5160. The biggest common factor number is the GCF number.
So the greatest common factor 5158 and 5160 is 2.

Also check out the Least Common Multiple of 5158 and 5160

Properties of GCF 5158 and 5160

(i) The GCF of 5158 and 5160 is associative

GCF of 5158 and 5160 = GCF of 5160 and 5158

Related Greatest Common Factor of 5158

Related Greatest Common Factor of 5160

Frequently Asked Questions on GCF of 5158 and 5160

1. What is the GCF of 5158 and 5160?

Answer: GCF of 5158 and 5160 is 2.

2. What are the Factors of 5158?

Answer: Factors of 5158 are 1, 2, 2579, 5158. There are 4 integers that are factors of 5158. The greatest factor of 5158 is 5158.

3. 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.

4. How to Find the GCF of 5158 and 5160?

Answer:

Greatest Common Factor of 5158 and 5160 = 2

Step 1: Find the prime factorization of 5158

5158 = 2 x 2579

Step 2: Find the prime factorization of 5160

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

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 5158 and 5160 is 2