Greatest Common Factor of 5156 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 5156, 5160 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5156 and 5160 is 4.

GCF(5156,5160) = 4

GCF of 5156 and 5160

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

GCF of:
and

Greatest Common Factor of 5156 and 5160

GCF of 5156 and 5160 is 4

Prime Factorization of 5156


2 5156
2 2578
1289 1289
1

Prime factors of 5156 are 2,1289. Prime factorization of 5156 in exponential form is:

5156 = 22×12891

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 5156 and 5160 is 4

Greatest Common Factor of 5156 and 5160 by matching factors method

Factors of 5156

List of positive integer factors of 5156 that divides 5156 without a remainder.

1,2,4,1289,2578,5156

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 5156 and 5160. The biggest common factor number is the GCF number.
So the greatest common factor 5156 and 5160 is 4.

Also check out the Least Common Multiple of 5156 and 5160

Properties of GCF 5156 and 5160

(i) The GCF of 5156 and 5160 is associative

GCF of 5156 and 5160 = GCF of 5160 and 5156

Related Greatest Common Factor of 5156

Related Greatest Common Factor of 5160

Frequently Asked Questions on GCF of 5156 and 5160

1. What is the GCF of 5156 and 5160?

Answer: GCF of 5156 and 5160 is 4.

2. What are the Factors of 5156?

Answer: Factors of 5156 are 1, 2, 4, 1289, 2578, 5156. There are 6 integers that are factors of 5156. The greatest factor of 5156 is 5156.

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 5156 and 5160?

Answer:

Greatest Common Factor of 5156 and 5160 = 4

Step 1: Find the prime factorization of 5156

5156 = 2 x 2 x 1289

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 x 2 = 4

Step 4: Therefore, the greatest common factor of 5156 and 5160 is 4