Greatest Common Factor of 8122 and 8130

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 8122, 8130 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8122 and 8130 is 2.

GCF(8122,8130) = 2

GCF of 8122 and 8130

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

GCF of:
and

Greatest Common Factor of 8122 and 8130

GCF of 8122 and 8130 is 2

Prime Factorization of 8122


2 8122
31 4061
131 131
1

Prime factors of 8122 are 2,31,131. Prime factorization of 8122 in exponential form is:

8122 = 21×311×1311

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

∴ So by taking common prime factors GCF of 8122 and 8130 is 2

Greatest Common Factor of 8122 and 8130 by matching factors method

Factors of 8122

List of positive integer factors of 8122 that divides 8122 without a remainder.

1,2,31,62,131,262,4061,8122

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

Greatest Common Factor

We found the factors and prime factorization of 8122 and 8130. The biggest common factor number is the GCF number.
So the greatest common factor 8122 and 8130 is 2.

Also check out the Least Common Multiple of 8122 and 8130

Properties of GCF 8122 and 8130

(i) The GCF of 8122 and 8130 is associative

GCF of 8122 and 8130 = GCF of 8130 and 8122

Related Greatest Common Factor of 8122

Related Greatest Common Factor of 8130

Frequently Asked Questions on GCF of 8122 and 8130

1. What is the GCF of 8122 and 8130?

Answer: GCF of 8122 and 8130 is 2.

2. What are the Factors of 8122?

Answer: Factors of 8122 are 1, 2, 31, 62, 131, 262, 4061, 8122. There are 8 integers that are factors of 8122. The greatest factor of 8122 is 8122.

3. 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.

4. How to Find the GCF of 8122 and 8130?

Answer:

Greatest Common Factor of 8122 and 8130 = 2

Step 1: Find the prime factorization of 8122

8122 = 2 x 31 x 131

Step 2: Find the prime factorization of 8130

8130 = 2 x 3 x 5 x 271

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 8122 and 8130 is 2