Greatest Common Factor of 8130 and 8131

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 8130, 8131 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8130 and 8131 is 1.

GCF(8130,8131) = 1

GCF of 8130 and 8131

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

GCF of:
and

Greatest Common Factor of 8130 and 8131

GCF of 8130 and 8131 is 1

Prime Factorization of 8130


2 8130
3 4065
5 1355
271 271
1

Prime factors of 8130 are 2,3,5,271. Prime factorization of 8130 in exponential form is:

8130 = 21×31×51×2711

Prime Factorization of 8131


47 8131
173 173
1

Prime factors of 8131 are 47,173. Prime factorization of 8131 in exponential form is:

8131 = 471×1731

∴ So by taking common prime factors GCF of 8130 and 8131 is 1

Greatest Common Factor of 8130 and 8131 by matching factors method

Factors of 8130

List of positive integer factors of 8130 that divides 8130 without a remainder.

1,2,3,5,6,10,15,30,271,542,813,1355,1626,2710,4065,8130

Factors of 8131

List of positive integer factors of 8131 that divides 8131 without a remainder.

1,47,173,8131

Greatest Common Factor

We found the factors and prime factorization of 8130 and 8131. The biggest common factor number is the GCF number.
So the greatest common factor 8130 and 8131 is 1.

Also check out the Least Common Multiple of 8130 and 8131

Properties of GCF 8130 and 8131

(i) The GCF of 8130 and 8131 is associative

GCF of 8130 and 8131 = GCF of 8131 and 8130

Related Greatest Common Factor of 8130

Related Greatest Common Factor of 8131

Frequently Asked Questions on GCF of 8130 and 8131

1. What is the GCF of 8130 and 8131?

Answer: GCF of 8130 and 8131 is 1.

2. What are the Factors of 8130?

Answer: Factors of 8130 are 1, 2, 3, 5, 6, 10, 15, 30, 271, 542, 813, 1355, 1626, 2710, 4065, 8130. There are 16 integers that are factors of 8130. The greatest factor of 8130 is 8130.

3. What are the Factors of 8131?

Answer: Factors of 8131 are 1, 47, 173, 8131. There are 4 integers that are factors of 8131. The greatest factor of 8131 is 8131.

4. How to Find the GCF of 8130 and 8131?

Answer:

Greatest Common Factor of 8130 and 8131 = 1

Step 1: Find the prime factorization of 8130

8130 = 2 x 3 x 5 x 271

Step 2: Find the prime factorization of 8131

8131 = 47 x 173

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 8130 and 8131 is 1