Greatest Common Factor of 7130 and 7131

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 7130, 7131 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7130 and 7131 is 1.

GCF(7130,7131) = 1

GCF of 7130 and 7131

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

GCF of:
and

Greatest Common Factor of 7130 and 7131

GCF of 7130 and 7131 is 1

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

Prime Factorization of 7131


3 7131
2377 2377
1

Prime factors of 7131 are 3,2377. Prime factorization of 7131 in exponential form is:

7131 = 31×23771

∴ So by taking common prime factors GCF of 7130 and 7131 is 1

Greatest Common Factor of 7130 and 7131 by matching factors method

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

Factors of 7131

List of positive integer factors of 7131 that divides 7131 without a remainder.

1,3,2377,7131

Greatest Common Factor

We found the factors and prime factorization of 7130 and 7131. The biggest common factor number is the GCF number.
So the greatest common factor 7130 and 7131 is 1.

Also check out the Least Common Multiple of 7130 and 7131

Properties of GCF 7130 and 7131

(i) The GCF of 7130 and 7131 is associative

GCF of 7130 and 7131 = GCF of 7131 and 7130

Related Greatest Common Factor of 7130

Related Greatest Common Factor of 7131

Frequently Asked Questions on GCF of 7130 and 7131

1. What is the GCF of 7130 and 7131?

Answer: GCF of 7130 and 7131 is 1.

2. 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.

3. What are the Factors of 7131?

Answer: Factors of 7131 are 1, 3, 2377, 7131. There are 4 integers that are factors of 7131. The greatest factor of 7131 is 7131.

4. How to Find the GCF of 7130 and 7131?

Answer:

Greatest Common Factor of 7130 and 7131 = 1

Step 1: Find the prime factorization of 7130

7130 = 2 x 5 x 23 x 31

Step 2: Find the prime factorization of 7131

7131 = 3 x 2377

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 7130 and 7131 is 1