Greatest Common Factor of 5158 and 5164

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, 5164 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5158 and 5164 is 2.

GCF(5158,5164) = 2

GCF of 5158 and 5164

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

GCF of:
and

Greatest Common Factor of 5158 and 5164

GCF of 5158 and 5164 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 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

∴ So by taking common prime factors GCF of 5158 and 5164 is 2

Greatest Common Factor of 5158 and 5164 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 5164

List of positive integer factors of 5164 that divides 5164 without a remainder.

1,2,4,1291,2582,5164

Greatest Common Factor

We found the factors and prime factorization of 5158 and 5164. The biggest common factor number is the GCF number.
So the greatest common factor 5158 and 5164 is 2.

Also check out the Least Common Multiple of 5158 and 5164

Properties of GCF 5158 and 5164

(i) The GCF of 5158 and 5164 is associative

GCF of 5158 and 5164 = GCF of 5164 and 5158

Related Greatest Common Factor of 5158

Related Greatest Common Factor of 5164

Frequently Asked Questions on GCF of 5158 and 5164

1. What is the GCF of 5158 and 5164?

Answer: GCF of 5158 and 5164 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 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.

4. How to Find the GCF of 5158 and 5164?

Answer:

Greatest Common Factor of 5158 and 5164 = 2

Step 1: Find the prime factorization of 5158

5158 = 2 x 2579

Step 2: Find the prime factorization of 5164

5164 = 2 x 2 x 1291

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 5164 is 2