Greatest Common Factor of 8130 and 8134

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, 8134 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8130 and 8134 is 2.

GCF(8130,8134) = 2

GCF of 8130 and 8134

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

GCF of:
and

Greatest Common Factor of 8130 and 8134

GCF of 8130 and 8134 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 8134


2 8134
7 4067
7 581
83 83
1

Prime factors of 8134 are 2,7,83. Prime factorization of 8134 in exponential form is:

8134 = 21×72×831

∴ So by taking common prime factors GCF of 8130 and 8134 is 2

Greatest Common Factor of 8130 and 8134 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 8134

List of positive integer factors of 8134 that divides 8134 without a remainder.

1,2,7,14,49,83,98,166,581,1162,4067,8134

Greatest Common Factor

We found the factors and prime factorization of 8130 and 8134. The biggest common factor number is the GCF number.
So the greatest common factor 8130 and 8134 is 2.

Also check out the Least Common Multiple of 8130 and 8134

Properties of GCF 8130 and 8134

(i) The GCF of 8130 and 8134 is associative

GCF of 8130 and 8134 = GCF of 8134 and 8130

Related Greatest Common Factor of 8130

Related Greatest Common Factor of 8134

Frequently Asked Questions on GCF of 8130 and 8134

1. What is the GCF of 8130 and 8134?

Answer: GCF of 8130 and 8134 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 8134?

Answer: Factors of 8134 are 1, 2, 7, 14, 49, 83, 98, 166, 581, 1162, 4067, 8134. There are 12 integers that are factors of 8134. The greatest factor of 8134 is 8134.

4. How to Find the GCF of 8130 and 8134?

Answer:

Greatest Common Factor of 8130 and 8134 = 2

Step 1: Find the prime factorization of 8130

8130 = 2 x 3 x 5 x 271

Step 2: Find the prime factorization of 8134

8134 = 2 x 7 x 7 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 8130 and 8134 is 2