What is the Greatest Common Factor of 4085 and 4100?

Greatest common factor (GCF) of 4085 and 4100 is 5.

GCF(4085,4100) = 5

We will now calculate the prime factors of 4085 and 4100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4085 and 4100.

How to find the GCF of 4085 and 4100?

We will first find the prime factorization of 4085 and 4100. After we will calculate the factors of 4085 and 4100 and find the biggest common factor number .

Step-1: Prime Factorization of 4085

Prime factors of 4085 are 5, 19, 43. Prime factorization of 4085 in exponential form is:

4085 = 5¹ × 19¹ × 43¹

Step-2: 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-3: Factors of 4085

List of positive integer factors of 4085 that divides 4085 without a remainder.

1, 5, 19, 43, 95, 215, 817

Step-4: Factors of 4100

List of positive integer factors of 4100 that divides 4085 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4085 and 4100. The biggest common factor number is the GCF number.
So the greatest common factor 4085 and 4100 is 5.

Also check out the Least Common Multiple of 4085 and 4100