What is the Greatest Common Factor of 4116 and 4122?

Greatest common factor (GCF) of 4116 and 4122 is 6.

GCF(4116,4122) = 6

We will now calculate the prime factors of 4116 and 4122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4116 and 4122.

How to find the GCF of 4116 and 4122?

We will first find the prime factorization of 4116 and 4122. After we will calculate the factors of 4116 and 4122 and find the biggest common factor number .

Step-1: Prime Factorization of 4116

Prime factors of 4116 are 2, 3, 7. Prime factorization of 4116 in exponential form is:

4116 = 2² × 3¹ × 7³

Step-2: Prime Factorization of 4122

Prime factors of 4122 are 2, 3, 229. Prime factorization of 4122 in exponential form is:

4122 = 2¹ × 3² × 229¹

Step-3: Factors of 4116

List of positive integer factors of 4116 that divides 4116 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 343, 588, 686, 1029, 1372, 2058

Step-4: Factors of 4122

List of positive integer factors of 4122 that divides 4116 without a remainder.

1, 2, 3, 6, 9, 18, 229, 458, 687, 1374, 2061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4116 and 4122. The biggest common factor number is the GCF number.
So the greatest common factor 4116 and 4122 is 6.

Also check out the Least Common Multiple of 4116 and 4122