Greatest Common Factor of 5118 and 5123

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, 5123 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5118 and 5123 is 1.

GCF(5118,5123) = 1

GCF of 5118 and 5123

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

GCF of:
and

Greatest Common Factor of 5118 and 5123

GCF of 5118 and 5123 is 1

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 5123


47 5123
109 109
1

Prime factors of 5123 are 47,109. Prime factorization of 5123 in exponential form is:

5123 = 471×1091

∴ So by taking common prime factors GCF of 5118 and 5123 is 1

Greatest Common Factor of 5118 and 5123 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 5123

List of positive integer factors of 5123 that divides 5123 without a remainder.

1,47,109,5123

Greatest Common Factor

We found the factors and prime factorization of 5118 and 5123. The biggest common factor number is the GCF number.
So the greatest common factor 5118 and 5123 is 1.

Also check out the Least Common Multiple of 5118 and 5123

Properties of GCF 5118 and 5123

(i) The GCF of 5118 and 5123 is associative

GCF of 5118 and 5123 = GCF of 5123 and 5118

Related Greatest Common Factor of 5118

Related Greatest Common Factor of 5123

Frequently Asked Questions on GCF of 5118 and 5123

1. What is the GCF of 5118 and 5123?

Answer: GCF of 5118 and 5123 is 1.

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 5123?

Answer: Factors of 5123 are 1, 47, 109, 5123. There are 4 integers that are factors of 5123. The greatest factor of 5123 is 5123.

4. How to Find the GCF of 5118 and 5123?

Answer:

Greatest Common Factor of 5118 and 5123 = 1

Step 1: Find the prime factorization of 5118

5118 = 2 x 3 x 853

Step 2: Find the prime factorization of 5123

5123 = 47 x 109

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5118 and 5123 is 1