What is the Greatest Common Factor of 4122 and 4138?

Greatest common factor (GCF) of 4122 and 4138 is 2.

GCF(4122,4138) = 2

We will now calculate the prime factors of 4122 and 4138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4122 and 4138.

How to find the GCF of 4122 and 4138?

We will first find the prime factorization of 4122 and 4138. After we will calculate the factors of 4122 and 4138 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4138

Prime factors of 4138 are 2, 2069. Prime factorization of 4138 in exponential form is:

4138 = 2¹ × 2069¹

Step-3: Factors of 4122

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

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

Step-4: Factors of 4138

List of positive integer factors of 4138 that divides 4122 without a remainder.

1, 2, 2069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4122 and 4138. The biggest common factor number is the GCF number.
So the greatest common factor 4122 and 4138 is 2.

Also check out the Least Common Multiple of 4122 and 4138