Greatest Common Factor of 8130 and 8138

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, 8138 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8130 and 8138 is 2.

GCF(8130,8138) = 2

GCF of 8130 and 8138

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

GCF of:
and

Greatest Common Factor of 8130 and 8138

GCF of 8130 and 8138 is 2

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 8138


2 8138
13 4069
313 313
1

Prime factors of 8138 are 2,13,313. Prime factorization of 8138 in exponential form is:

8138 = 21×131×3131

∴ So by taking common prime factors GCF of 8130 and 8138 is 2

Greatest Common Factor of 8130 and 8138 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 8138

List of positive integer factors of 8138 that divides 8138 without a remainder.

1,2,13,26,313,626,4069,8138

Greatest Common Factor

We found the factors and prime factorization of 8130 and 8138. The biggest common factor number is the GCF number.
So the greatest common factor 8130 and 8138 is 2.

Also check out the Least Common Multiple of 8130 and 8138

Properties of GCF 8130 and 8138

(i) The GCF of 8130 and 8138 is associative

GCF of 8130 and 8138 = GCF of 8138 and 8130

Related Greatest Common Factor of 8130

Related Greatest Common Factor of 8138

Frequently Asked Questions on GCF of 8130 and 8138

1. What is the GCF of 8130 and 8138?

Answer: GCF of 8130 and 8138 is 2.

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 8138?

Answer: Factors of 8138 are 1, 2, 13, 26, 313, 626, 4069, 8138. There are 8 integers that are factors of 8138. The greatest factor of 8138 is 8138.

4. How to Find the GCF of 8130 and 8138?

Answer:

Greatest Common Factor of 8130 and 8138 = 2

Step 1: Find the prime factorization of 8130

8130 = 2 x 3 x 5 x 271

Step 2: Find the prime factorization of 8138

8138 = 2 x 13 x 313

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 8130 and 8138 is 2