Greatest Common Factor of 7130 and 7138

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, 7138 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7130 and 7138 is 2.

GCF(7130,7138) = 2

GCF of 7130 and 7138

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

GCF of:
and

Greatest Common Factor of 7130 and 7138

GCF of 7130 and 7138 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 7138


2 7138
43 3569
83 83
1

Prime factors of 7138 are 2,43,83. Prime factorization of 7138 in exponential form is:

7138 = 21×431×831

∴ So by taking common prime factors GCF of 7130 and 7138 is 2

Greatest Common Factor of 7130 and 7138 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 7138

List of positive integer factors of 7138 that divides 7138 without a remainder.

1,2,43,83,86,166,3569,7138

Greatest Common Factor

We found the factors and prime factorization of 7130 and 7138. The biggest common factor number is the GCF number.
So the greatest common factor 7130 and 7138 is 2.

Also check out the Least Common Multiple of 7130 and 7138

Properties of GCF 7130 and 7138

(i) The GCF of 7130 and 7138 is associative

GCF of 7130 and 7138 = GCF of 7138 and 7130

Related Greatest Common Factor of 7130

Related Greatest Common Factor of 7138

Frequently Asked Questions on GCF of 7130 and 7138

1. What is the GCF of 7130 and 7138?

Answer: GCF of 7130 and 7138 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 7138?

Answer: Factors of 7138 are 1, 2, 43, 83, 86, 166, 3569, 7138. There are 8 integers that are factors of 7138. The greatest factor of 7138 is 7138.

4. How to Find the GCF of 7130 and 7138?

Answer:

Greatest Common Factor of 7130 and 7138 = 2

Step 1: Find the prime factorization of 7130

7130 = 2 x 5 x 23 x 31

Step 2: Find the prime factorization of 7138

7138 = 2 x 43 x 83

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 7138 is 2