What is the Greatest Common Factor of 94348 and 94362?

Greatest common factor (GCF) of 94348 and 94362 is 2.

GCF(94348,94362) = 2

We will now calculate the prime factors of 94348 and 94362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94348 and 94362.

How to find the GCF of 94348 and 94362?

We will first find the prime factorization of 94348 and 94362. After we will calculate the factors of 94348 and 94362 and find the biggest common factor number .

Step-1: Prime Factorization of 94348

Prime factors of 94348 are 2, 103, 229. Prime factorization of 94348 in exponential form is:

94348 = 2² × 103¹ × 229¹

Step-2: Prime Factorization of 94362

Prime factors of 94362 are 2, 3, 15727. Prime factorization of 94362 in exponential form is:

94362 = 2¹ × 3¹ × 15727¹

Step-3: Factors of 94348

List of positive integer factors of 94348 that divides 94348 without a remainder.

1, 2, 4, 103, 206, 229, 412, 458, 916, 23587, 47174

Step-4: Factors of 94362

List of positive integer factors of 94362 that divides 94348 without a remainder.

1, 2, 3, 6, 15727, 31454, 47181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94348 and 94362. The biggest common factor number is the GCF number.
So the greatest common factor 94348 and 94362 is 2.

Also check out the Least Common Multiple of 94348 and 94362