Greatest Common Factor of 8130 and 8135

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, 8135 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8130 and 8135 is 5.

GCF(8130,8135) = 5

GCF of 8130 and 8135

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

GCF of:
and

Greatest Common Factor of 8130 and 8135

GCF of 8130 and 8135 is 5

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 8135


5 8135
1627 1627
1

Prime factors of 8135 are 5,1627. Prime factorization of 8135 in exponential form is:

8135 = 51×16271

∴ So by taking common prime factors GCF of 8130 and 8135 is 5

Greatest Common Factor of 8130 and 8135 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 8135

List of positive integer factors of 8135 that divides 8135 without a remainder.

1,5,1627,8135

Greatest Common Factor

We found the factors and prime factorization of 8130 and 8135. The biggest common factor number is the GCF number.
So the greatest common factor 8130 and 8135 is 5.

Also check out the Least Common Multiple of 8130 and 8135

Properties of GCF 8130 and 8135

(i) The GCF of 8130 and 8135 is associative

GCF of 8130 and 8135 = GCF of 8135 and 8130

Related Greatest Common Factor of 8130

Related Greatest Common Factor of 8135

Frequently Asked Questions on GCF of 8130 and 8135

1. What is the GCF of 8130 and 8135?

Answer: GCF of 8130 and 8135 is 5.

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 8135?

Answer: Factors of 8135 are 1, 5, 1627, 8135. There are 4 integers that are factors of 8135. The greatest factor of 8135 is 8135.

4. How to Find the GCF of 8130 and 8135?

Answer:

Greatest Common Factor of 8130 and 8135 = 5

Step 1: Find the prime factorization of 8130

8130 = 2 x 3 x 5 x 271

Step 2: Find the prime factorization of 8135

8135 = 5 x 1627

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

GCF = 5

Step 4: Therefore, the greatest common factor of 8130 and 8135 is 5