What is the Greatest Common Factor of 4094 and 4107?

Greatest common factor (GCF) of 4094 and 4107 is 1.

GCF(4094,4107) = 1

We will now calculate the prime factors of 4094 and 4107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4094 and 4107.

How to find the GCF of 4094 and 4107?

We will first find the prime factorization of 4094 and 4107. After we will calculate the factors of 4094 and 4107 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 4107

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

4107 = 3¹ × 37²

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 4107

List of positive integer factors of 4107 that divides 4094 without a remainder.

1, 3, 37, 111, 1369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4094 and 4107. The biggest common factor number is the GCF number.
So the greatest common factor 4094 and 4107 is 1.

Also check out the Least Common Multiple of 4094 and 4107