What is the Greatest Common Factor of 4094 and 4100?

Greatest common factor (GCF) of 4094 and 4100 is 2.

GCF(4094,4100) = 2

We will now calculate the prime factors of 4094 and 4100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4094 and 4100.

How to find the GCF of 4094 and 4100?

We will first find the prime factorization of 4094 and 4100. After we will calculate the factors of 4094 and 4100 and find the biggest common factor number .

Step-1: Prime Factorization of 4094

Prime factors of 4094 are 2, 23, 89. Prime factorization of 4094 in exponential form is:

4094 = 2¹ × 23¹ × 89¹

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 4094

List of positive integer factors of 4094 that divides 4094 without a remainder.

1, 2, 23, 46, 89, 178, 2047

Step-4: Factors of 4100

List of positive integer factors of 4100 that divides 4094 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 4094 and 4100. The biggest common factor number is the GCF number.
So the greatest common factor 4094 and 4100 is 2.

Also check out the Least Common Multiple of 4094 and 4100