Greatest Common Factor of 2116 and 2122

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 2116, 2122 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2116 and 2122 is 2.

GCF(2116,2122) = 2

GCF of 2116 and 2122

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

GCF of:
and

Greatest Common Factor of 2116 and 2122

GCF of 2116 and 2122 is 2

Prime Factorization of 2116


2 2116
2 1058
23 529
23 23
1

Prime factors of 2116 are 2,23. Prime factorization of 2116 in exponential form is:

2116 = 22×232

Prime Factorization of 2122


2 2122
1061 1061
1

Prime factors of 2122 are 2,1061. Prime factorization of 2122 in exponential form is:

2122 = 21×10611

∴ So by taking common prime factors GCF of 2116 and 2122 is 2

Greatest Common Factor of 2116 and 2122 by matching factors method

Factors of 2116

List of positive integer factors of 2116 that divides 2116 without a remainder.

1,2,4,23,46,92,529,1058,2116

Factors of 2122

List of positive integer factors of 2122 that divides 2122 without a remainder.

1,2,1061,2122

Greatest Common Factor

We found the factors and prime factorization of 2116 and 2122. The biggest common factor number is the GCF number.
So the greatest common factor 2116 and 2122 is 2.

Also check out the Least Common Multiple of 2116 and 2122

Properties of GCF 2116 and 2122

(i) The GCF of 2116 and 2122 is associative

GCF of 2116 and 2122 = GCF of 2122 and 2116

Related Greatest Common Factor of 2116

Related Greatest Common Factor of 2122

Frequently Asked Questions on GCF of 2116 and 2122

1. What is the GCF of 2116 and 2122?

Answer: GCF of 2116 and 2122 is 2.

2. What are the Factors of 2116?

Answer: Factors of 2116 are 1, 2, 4, 23, 46, 92, 529, 1058, 2116. There are 9 integers that are factors of 2116. The greatest factor of 2116 is 2116.

3. What are the Factors of 2122?

Answer: Factors of 2122 are 1, 2, 1061, 2122. There are 4 integers that are factors of 2122. The greatest factor of 2122 is 2122.

4. How to Find the GCF of 2116 and 2122?

Answer:

Greatest Common Factor of 2116 and 2122 = 2

Step 1: Find the prime factorization of 2116

2116 = 2 x 2 x 23 x 23

Step 2: Find the prime factorization of 2122

2122 = 2 x 1061

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 2116 and 2122 is 2