Greatest Common Factor of 5118 and 5121

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 5118, 5121 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5118 and 5121 is 3.

GCF(5118,5121) = 3

GCF of 5118 and 5121

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

GCF of:
and

Greatest Common Factor of 5118 and 5121

GCF of 5118 and 5121 is 3

Prime Factorization of 5118


2 5118
3 2559
853 853
1

Prime factors of 5118 are 2,3,853. Prime factorization of 5118 in exponential form is:

5118 = 21×31×8531

Prime Factorization of 5121


3 5121
3 1707
569 569
1

Prime factors of 5121 are 3,569. Prime factorization of 5121 in exponential form is:

5121 = 32×5691

∴ So by taking common prime factors GCF of 5118 and 5121 is 3

Greatest Common Factor of 5118 and 5121 by matching factors method

Factors of 5118

List of positive integer factors of 5118 that divides 5118 without a remainder.

1,2,3,6,853,1706,2559,5118

Factors of 5121

List of positive integer factors of 5121 that divides 5121 without a remainder.

1,3,9,569,1707,5121

Greatest Common Factor

We found the factors and prime factorization of 5118 and 5121. The biggest common factor number is the GCF number.
So the greatest common factor 5118 and 5121 is 3.

Also check out the Least Common Multiple of 5118 and 5121

Properties of GCF 5118 and 5121

(i) The GCF of 5118 and 5121 is associative

GCF of 5118 and 5121 = GCF of 5121 and 5118

Related Greatest Common Factor of 5118

Related Greatest Common Factor of 5121

Frequently Asked Questions on GCF of 5118 and 5121

1. What is the GCF of 5118 and 5121?

Answer: GCF of 5118 and 5121 is 3.

2. What are the Factors of 5118?

Answer: Factors of 5118 are 1, 2, 3, 6, 853, 1706, 2559, 5118. There are 8 integers that are factors of 5118. The greatest factor of 5118 is 5118.

3. What are the Factors of 5121?

Answer: Factors of 5121 are 1, 3, 9, 569, 1707, 5121. There are 6 integers that are factors of 5121. The greatest factor of 5121 is 5121.

4. How to Find the GCF of 5118 and 5121?

Answer:

Greatest Common Factor of 5118 and 5121 = 3

Step 1: Find the prime factorization of 5118

5118 = 2 x 3 x 853

Step 2: Find the prime factorization of 5121

5121 = 3 x 3 x 569

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

GCF = 3

Step 4: Therefore, the greatest common factor of 5118 and 5121 is 3