What is the Greatest Common Factor of 2116 and 2122?

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

GCF(2116,2122) = 2

We will now calculate the prime factors of 2116 and 2122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2116 and 2122.

How to find the GCF of 2116 and 2122?

We will first find the prime factorization of 2116 and 2122. After we will calculate the factors of 2116 and 2122 and find the biggest common factor number .

Step-1: Prime Factorization of 2116

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

2116 = 2² × 23²

Step-2: Prime Factorization of 2122

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

2122 = 2¹ × 1061¹

Step-3: Factors of 2116

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

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

Step-4: Factors of 2122

List of positive integer factors of 2122 that divides 2116 without a remainder.

1, 2, 1061

Final Step: Biggest Common Factor Number

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