Greatest Common Factor of 5125 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 5125, 5130 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5125 and 5130 is 5.

GCF(5125,5130) = 5

GCF of 5125 and 5130

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

GCF of:
and

Greatest Common Factor of 5125 and 5130

GCF of 5125 and 5130 is 5

Prime Factorization of 5125


5 5125
5 1025
5 205
41 41
1

Prime factors of 5125 are 5,41. Prime factorization of 5125 in exponential form is:

5125 = 53×411

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 5125 and 5130 is 5

Greatest Common Factor of 5125 and 5130 by matching factors method

Factors of 5125

List of positive integer factors of 5125 that divides 5125 without a remainder.

1,5,25,41,125,205,1025,5125

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 5125 and 5130. The biggest common factor number is the GCF number.
So the greatest common factor 5125 and 5130 is 5.

Also check out the Least Common Multiple of 5125 and 5130

Properties of GCF 5125 and 5130

(i) The GCF of 5125 and 5130 is associative

GCF of 5125 and 5130 = GCF of 5130 and 5125

Related Greatest Common Factor of 5125

Related Greatest Common Factor of 5130

Frequently Asked Questions on GCF of 5125 and 5130

1. What is the GCF of 5125 and 5130?

Answer: GCF of 5125 and 5130 is 5.

2. What are the Factors of 5125?

Answer: Factors of 5125 are 1, 5, 25, 41, 125, 205, 1025, 5125. There are 8 integers that are factors of 5125. The greatest factor of 5125 is 5125.

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 5125 and 5130?

Answer:

Greatest Common Factor of 5125 and 5130 = 5

Step 1: Find the prime factorization of 5125

5125 = 5 x 5 x 5 x 41

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 = 5

Step 4: Therefore, the greatest common factor of 5125 and 5130 is 5