Greatest Common Factor of 7130 and 7136

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, 7136 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7130 and 7136 is 2.

GCF(7130,7136) = 2

GCF of 7130 and 7136

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

GCF of:
and

Greatest Common Factor of 7130 and 7136

GCF of 7130 and 7136 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 7136


2 7136
2 3568
2 1784
2 892
2 446
223 223
1

Prime factors of 7136 are 2,223. Prime factorization of 7136 in exponential form is:

7136 = 25×2231

∴ So by taking common prime factors GCF of 7130 and 7136 is 2

Greatest Common Factor of 7130 and 7136 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 7136

List of positive integer factors of 7136 that divides 7136 without a remainder.

1,2,4,8,16,32,223,446,892,1784,3568,7136

Greatest Common Factor

We found the factors and prime factorization of 7130 and 7136. The biggest common factor number is the GCF number.
So the greatest common factor 7130 and 7136 is 2.

Also check out the Least Common Multiple of 7130 and 7136

Properties of GCF 7130 and 7136

(i) The GCF of 7130 and 7136 is associative

GCF of 7130 and 7136 = GCF of 7136 and 7130

Related Greatest Common Factor of 7130

Related Greatest Common Factor of 7136

Frequently Asked Questions on GCF of 7130 and 7136

1. What is the GCF of 7130 and 7136?

Answer: GCF of 7130 and 7136 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 7136?

Answer: Factors of 7136 are 1, 2, 4, 8, 16, 32, 223, 446, 892, 1784, 3568, 7136. There are 12 integers that are factors of 7136. The greatest factor of 7136 is 7136.

4. How to Find the GCF of 7130 and 7136?

Answer:

Greatest Common Factor of 7130 and 7136 = 2

Step 1: Find the prime factorization of 7130

7130 = 2 x 5 x 23 x 31

Step 2: Find the prime factorization of 7136

7136 = 2 x 2 x 2 x 2 x 2 x 223

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 7136 is 2