What is the Greatest Common Factor of 4100 and 4107?

Greatest common factor (GCF) of 4100 and 4107 is 1.

GCF(4100,4107) = 1

We will now calculate the prime factors of 4100 and 4107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4100 and 4107.

How to find the GCF of 4100 and 4107?

We will first find the prime factorization of 4100 and 4107. After we will calculate the factors of 4100 and 4107 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 4107

Prime factors of 4107 are 3, 37. Prime factorization of 4107 in exponential form is:

4107 = 3¹ × 37²

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 4107

List of positive integer factors of 4107 that divides 4100 without a remainder.

1, 3, 37, 111, 1369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4100 and 4107. The biggest common factor number is the GCF number.
So the greatest common factor 4100 and 4107 is 1.

Also check out the Least Common Multiple of 4100 and 4107