What is the Greatest Common Factor of 94 and 107?

Greatest common factor (GCF) of 94 and 107 is 1.

GCF(94,107) = 1

We will now calculate the prime factors of 94 and 107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94 and 107.

How to find the GCF of 94 and 107?

We will first find the prime factorization of 94 and 107. After we will calculate the factors of 94 and 107 and find the biggest common factor number .

Step-1: Prime Factorization of 94

Prime factors of 94 are 2, 47. Prime factorization of 94 in exponential form is:

94 = 2¹ × 47¹

Step-2: Prime Factorization of 107

Prime factors of 107 are 107. Prime factorization of 107 in exponential form is:

107 = 107¹

Step-3: Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1, 2, 47

Step-4: Factors of 107

List of positive integer factors of 107 that divides 94 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94 and 107. The biggest common factor number is the GCF number.
So the greatest common factor 94 and 107 is 1.

Also check out the Least Common Multiple of 94 and 107