What is the Greatest Common Factor of 94214 and 94231?

Greatest common factor (GCF) of 94214 and 94231 is 17.

GCF(94214,94231) = 17

We will now calculate the prime factors of 94214 and 94231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94214 and 94231.

How to find the GCF of 94214 and 94231?

We will first find the prime factorization of 94214 and 94231. After we will calculate the factors of 94214 and 94231 and find the biggest common factor number .

Step-1: Prime Factorization of 94214

Prime factors of 94214 are 2, 17, 163. Prime factorization of 94214 in exponential form is:

94214 = 2¹ × 17² × 163¹

Step-2: Prime Factorization of 94231

Prime factors of 94231 are 17, 23, 241. Prime factorization of 94231 in exponential form is:

94231 = 17¹ × 23¹ × 241¹

Step-3: Factors of 94214

List of positive integer factors of 94214 that divides 94214 without a remainder.

1, 2, 17, 34, 163, 289, 326, 578, 2771, 5542, 47107

Step-4: Factors of 94231

List of positive integer factors of 94231 that divides 94214 without a remainder.

1, 17, 23, 241, 391, 4097, 5543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94214 and 94231. The biggest common factor number is the GCF number.
So the greatest common factor 94214 and 94231 is 17.

Also check out the Least Common Multiple of 94214 and 94231