Greatest Common Factor of 7130 and 7132

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, 7132 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7130 and 7132 is 2.

GCF(7130,7132) = 2

GCF of 7130 and 7132

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

GCF of:
and

Greatest Common Factor of 7130 and 7132

GCF of 7130 and 7132 is 2

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 7132


2 7132
2 3566
1783 1783
1

Prime factors of 7132 are 2,1783. Prime factorization of 7132 in exponential form is:

7132 = 22×17831

∴ So by taking common prime factors GCF of 7130 and 7132 is 2

Greatest Common Factor of 7130 and 7132 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 7132

List of positive integer factors of 7132 that divides 7132 without a remainder.

1,2,4,1783,3566,7132

Greatest Common Factor

We found the factors and prime factorization of 7130 and 7132. The biggest common factor number is the GCF number.
So the greatest common factor 7130 and 7132 is 2.

Also check out the Least Common Multiple of 7130 and 7132

Properties of GCF 7130 and 7132

(i) The GCF of 7130 and 7132 is associative

GCF of 7130 and 7132 = GCF of 7132 and 7130

Related Greatest Common Factor of 7130

Related Greatest Common Factor of 7132

Frequently Asked Questions on GCF of 7130 and 7132

1. What is the GCF of 7130 and 7132?

Answer: GCF of 7130 and 7132 is 2.

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 7132?

Answer: Factors of 7132 are 1, 2, 4, 1783, 3566, 7132. There are 6 integers that are factors of 7132. The greatest factor of 7132 is 7132.

4. How to Find the GCF of 7130 and 7132?

Answer:

Greatest Common Factor of 7130 and 7132 = 2

Step 1: Find the prime factorization of 7130

7130 = 2 x 5 x 23 x 31

Step 2: Find the prime factorization of 7132

7132 = 2 x 2 x 1783

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7130 and 7132 is 2