Greatest Common Factor of 5127 and 5130

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 5127, 5130 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5127 and 5130 is 3.

GCF(5127,5130) = 3

GCF of 5127 and 5130

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

GCF of:
and

Greatest Common Factor of 5127 and 5130

GCF of 5127 and 5130 is 3

Prime Factorization of 5127


3 5127
1709 1709
1

Prime factors of 5127 are 3,1709. Prime factorization of 5127 in exponential form is:

5127 = 31×17091

Prime Factorization of 5130


2 5130
3 2565
3 855
3 285
5 95
19 19
1

Prime factors of 5130 are 2,3,5,19. Prime factorization of 5130 in exponential form is:

5130 = 21×33×51×191

∴ So by taking common prime factors GCF of 5127 and 5130 is 3

Greatest Common Factor of 5127 and 5130 by matching factors method

Factors of 5127

List of positive integer factors of 5127 that divides 5127 without a remainder.

1,3,1709,5127

Factors of 5130

List of positive integer factors of 5130 that divides 5130 without a remainder.

1,2,3,5,6,9,10,15,18,19,27,30,38,45,54,57,90,95,114,135,171,190,270,285,342,513,570,855,1026,1710,2565,5130

Greatest Common Factor

We found the factors and prime factorization of 5127 and 5130. The biggest common factor number is the GCF number.
So the greatest common factor 5127 and 5130 is 3.

Also check out the Least Common Multiple of 5127 and 5130

Properties of GCF 5127 and 5130

(i) The GCF of 5127 and 5130 is associative

GCF of 5127 and 5130 = GCF of 5130 and 5127

Related Greatest Common Factor of 5127

Related Greatest Common Factor of 5130

Frequently Asked Questions on GCF of 5127 and 5130

1. What is the GCF of 5127 and 5130?

Answer: GCF of 5127 and 5130 is 3.

2. What are the Factors of 5127?

Answer: Factors of 5127 are 1, 3, 1709, 5127. There are 4 integers that are factors of 5127. The greatest factor of 5127 is 5127.

3. What are the Factors of 5130?

Answer: Factors of 5130 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 27, 30, 38, 45, 54, 57, 90, 95, 114, 135, 171, 190, 270, 285, 342, 513, 570, 855, 1026, 1710, 2565, 5130. There are 32 integers that are factors of 5130. The greatest factor of 5130 is 5130.

4. How to Find the GCF of 5127 and 5130?

Answer:

Greatest Common Factor of 5127 and 5130 = 3

Step 1: Find the prime factorization of 5127

5127 = 3 x 1709

Step 2: Find the prime factorization of 5130

5130 = 2 x 3 x 3 x 3 x 5 x 19

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 5127 and 5130 is 3