What is the Greatest Common Factor of 94362 and 94371?

Greatest common factor (GCF) of 94362 and 94371 is 3.

GCF(94362,94371) = 3

We will now calculate the prime factors of 94362 and 94371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94362 and 94371.

How to find the GCF of 94362 and 94371?

We will first find the prime factorization of 94362 and 94371. After we will calculate the factors of 94362 and 94371 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94371

Prime factors of 94371 are 3, 83, 379. Prime factorization of 94371 in exponential form is:

94371 = 3¹ × 83¹ × 379¹

Step-3: Factors of 94362

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

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

Step-4: Factors of 94371

List of positive integer factors of 94371 that divides 94362 without a remainder.

1, 3, 83, 249, 379, 1137, 31457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94362 and 94371. The biggest common factor number is the GCF number.
So the greatest common factor 94362 and 94371 is 3.

Also check out the Least Common Multiple of 94362 and 94371