What is the Greatest Common Factor of 4100 and 4118?

Greatest common factor (GCF) of 4100 and 4118 is 2.

GCF(4100,4118) = 2

We will now calculate the prime factors of 4100 and 4118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4100 and 4118.

How to find the GCF of 4100 and 4118?

We will first find the prime factorization of 4100 and 4118. After we will calculate the factors of 4100 and 4118 and find the biggest common factor number .

Step-1: Prime Factorization of 4100

Prime factors of 4100 are 2, 5, 41. Prime factorization of 4100 in exponential form is:

4100 = 2² × 5² × 41¹

Step-2: 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-3: Factors of 4100

List of positive integer factors of 4100 that divides 4100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050

Step-4: Factors of 4118

List of positive integer factors of 4118 that divides 4100 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4100 and 4118. The biggest common factor number is the GCF number.
So the greatest common factor 4100 and 4118 is 2.

Also check out the Least Common Multiple of 4100 and 4118