What is the Greatest Common Factor of 6 and 94?

Greatest common factor (GCF) of 6 and 94 is 2.

GCF(6,94) = 2

We will now calculate the prime factors of 6 and 94, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6 and 94.

How to find the GCF of 6 and 94?

We will first find the prime factorization of 6 and 94. After we will calculate the factors of 6 and 94 and find the biggest common factor number .

Step-1: Prime Factorization of 6

Prime factors of 6 are 2, 3. Prime factorization of 6 in exponential form is:

6 = 2¹ × 3¹

Step-2: Prime Factorization of 94

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

94 = 2¹ × 47¹

Step-3: Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1, 2, 3

Step-4: Factors of 94

List of positive integer factors of 94 that divides 6 without a remainder.

1, 2, 47

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6 and 94. The biggest common factor number is the GCF number.
So the greatest common factor 6 and 94 is 2.

Also check out the Least Common Multiple of 6 and 94