What is the Greatest Common Factor of 4118 and 4126?

Greatest common factor (GCF) of 4118 and 4126 is 2.

GCF(4118,4126) = 2

We will now calculate the prime factors of 4118 and 4126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4118 and 4126.

How to find the GCF of 4118 and 4126?

We will first find the prime factorization of 4118 and 4126. After we will calculate the factors of 4118 and 4126 and find the biggest common factor number .

Step-1: Prime Factorization of 4118

Prime factors of 4118 are 2, 29, 71. Prime factorization of 4118 in exponential form is:

4118 = 2¹ × 29¹ × 71¹

Step-2: Prime Factorization of 4126

Prime factors of 4126 are 2, 2063. Prime factorization of 4126 in exponential form is:

4126 = 2¹ × 2063¹

Step-3: Factors of 4118

List of positive integer factors of 4118 that divides 4118 without a remainder.

1, 2, 29, 58, 71, 142, 2059

Step-4: Factors of 4126

List of positive integer factors of 4126 that divides 4118 without a remainder.

1, 2, 2063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4118 and 4126. The biggest common factor number is the GCF number.
So the greatest common factor 4118 and 4126 is 2.

Also check out the Least Common Multiple of 4118 and 4126