What is the Greatest Common Factor of 4084 and 4100?

Greatest common factor (GCF) of 4084 and 4100 is 4.

GCF(4084,4100) = 4

We will now calculate the prime factors of 4084 and 4100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4084 and 4100.

How to find the GCF of 4084 and 4100?

We will first find the prime factorization of 4084 and 4100. After we will calculate the factors of 4084 and 4100 and find the biggest common factor number .

Step-1: Prime Factorization of 4084

Prime factors of 4084 are 2, 1021. Prime factorization of 4084 in exponential form is:

4084 = 2² × 1021¹

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 4084

List of positive integer factors of 4084 that divides 4084 without a remainder.

1, 2, 4, 1021, 2042

Step-4: Factors of 4100

List of positive integer factors of 4100 that divides 4084 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 4084 and 4100. The biggest common factor number is the GCF number.
So the greatest common factor 4084 and 4100 is 4.

Also check out the Least Common Multiple of 4084 and 4100