Greatest Common Factor of 8116 and 8122

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 8116, 8122 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8116 and 8122 is 2.

GCF(8116,8122) = 2

GCF of 8116 and 8122

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

GCF of:
and

Greatest Common Factor of 8116 and 8122

GCF of 8116 and 8122 is 2

Prime Factorization of 8116


2 8116
2 4058
2029 2029
1

Prime factors of 8116 are 2,2029. Prime factorization of 8116 in exponential form is:

8116 = 22×20291

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

∴ So by taking common prime factors GCF of 8116 and 8122 is 2

Greatest Common Factor of 8116 and 8122 by matching factors method

Factors of 8116

List of positive integer factors of 8116 that divides 8116 without a remainder.

1,2,4,2029,4058,8116

Factors of 8122

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

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

Greatest Common Factor

We found the factors and prime factorization of 8116 and 8122. The biggest common factor number is the GCF number.
So the greatest common factor 8116 and 8122 is 2.

Also check out the Least Common Multiple of 8116 and 8122

Properties of GCF 8116 and 8122

(i) The GCF of 8116 and 8122 is associative

GCF of 8116 and 8122 = GCF of 8122 and 8116

Related Greatest Common Factor of 8116

Related Greatest Common Factor of 8122

Frequently Asked Questions on GCF of 8116 and 8122

1. What is the GCF of 8116 and 8122?

Answer: GCF of 8116 and 8122 is 2.

2. What are the Factors of 8116?

Answer: Factors of 8116 are 1, 2, 4, 2029, 4058, 8116. There are 6 integers that are factors of 8116. The greatest factor of 8116 is 8116.

3. 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.

4. How to Find the GCF of 8116 and 8122?

Answer:

Greatest Common Factor of 8116 and 8122 = 2

Step 1: Find the prime factorization of 8116

8116 = 2 x 2 x 2029

Step 2: Find the prime factorization of 8122

8122 = 2 x 31 x 131

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 8116 and 8122 is 2