Greatest Common Factor of 8130 and 8132

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, 8132 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8130 and 8132 is 2.

GCF(8130,8132) = 2

GCF of 8130 and 8132

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

GCF of:
and

Greatest Common Factor of 8130 and 8132

GCF of 8130 and 8132 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 8132


2 8132
2 4066
19 2033
107 107
1

Prime factors of 8132 are 2,19,107. Prime factorization of 8132 in exponential form is:

8132 = 22×191×1071

∴ So by taking common prime factors GCF of 8130 and 8132 is 2

Greatest Common Factor of 8130 and 8132 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 8132

List of positive integer factors of 8132 that divides 8132 without a remainder.

1,2,4,19,38,76,107,214,428,2033,4066,8132

Greatest Common Factor

We found the factors and prime factorization of 8130 and 8132. The biggest common factor number is the GCF number.
So the greatest common factor 8130 and 8132 is 2.

Also check out the Least Common Multiple of 8130 and 8132

Properties of GCF 8130 and 8132

(i) The GCF of 8130 and 8132 is associative

GCF of 8130 and 8132 = GCF of 8132 and 8130

Related Greatest Common Factor of 8130

Related Greatest Common Factor of 8132

Frequently Asked Questions on GCF of 8130 and 8132

1. What is the GCF of 8130 and 8132?

Answer: GCF of 8130 and 8132 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 8132?

Answer: Factors of 8132 are 1, 2, 4, 19, 38, 76, 107, 214, 428, 2033, 4066, 8132. There are 12 integers that are factors of 8132. The greatest factor of 8132 is 8132.

4. How to Find the GCF of 8130 and 8132?

Answer:

Greatest Common Factor of 8130 and 8132 = 2

Step 1: Find the prime factorization of 8130

8130 = 2 x 3 x 5 x 271

Step 2: Find the prime factorization of 8132

8132 = 2 x 2 x 19 x 107

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 8132 is 2