Greatest Common Factor of 7125 and 7130

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 7125, 7130 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7125 and 7130 is 5.

GCF(7125,7130) = 5

GCF of 7125 and 7130

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

GCF of:
and

Greatest Common Factor of 7125 and 7130

GCF of 7125 and 7130 is 5

Prime Factorization of 7125


3 7125
5 2375
5 475
5 95
19 19
1

Prime factors of 7125 are 3,5,19. Prime factorization of 7125 in exponential form is:

7125 = 31×53×191

Prime Factorization of 7130


2 7130
5 3565
23 713
31 31
1

Prime factors of 7130 are 2,5,23,31. Prime factorization of 7130 in exponential form is:

7130 = 21×51×231×311

∴ So by taking common prime factors GCF of 7125 and 7130 is 5

Greatest Common Factor of 7125 and 7130 by matching factors method

Factors of 7125

List of positive integer factors of 7125 that divides 7125 without a remainder.

1,3,5,15,19,25,57,75,95,125,285,375,475,1425,2375,7125

Factors of 7130

List of positive integer factors of 7130 that divides 7130 without a remainder.

1,2,5,10,23,31,46,62,115,155,230,310,713,1426,3565,7130

Greatest Common Factor

We found the factors and prime factorization of 7125 and 7130. The biggest common factor number is the GCF number.
So the greatest common factor 7125 and 7130 is 5.

Also check out the Least Common Multiple of 7125 and 7130

Properties of GCF 7125 and 7130

(i) The GCF of 7125 and 7130 is associative

GCF of 7125 and 7130 = GCF of 7130 and 7125

Related Greatest Common Factor of 7125

Related Greatest Common Factor of 7130

Frequently Asked Questions on GCF of 7125 and 7130

1. What is the GCF of 7125 and 7130?

Answer: GCF of 7125 and 7130 is 5.

2. What are the Factors of 7125?

Answer: Factors of 7125 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 125, 285, 375, 475, 1425, 2375, 7125. There are 16 integers that are factors of 7125. The greatest factor of 7125 is 7125.

3. What are the Factors of 7130?

Answer: Factors of 7130 are 1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565, 7130. There are 16 integers that are factors of 7130. The greatest factor of 7130 is 7130.

4. How to Find the GCF of 7125 and 7130?

Answer:

Greatest Common Factor of 7125 and 7130 = 5

Step 1: Find the prime factorization of 7125

7125 = 3 x 5 x 5 x 5 x 19

Step 2: Find the prime factorization of 7130

7130 = 2 x 5 x 23 x 31

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 7125 and 7130 is 5