What is the Greatest Common Factor of 94377 and 94383?

Greatest common factor (GCF) of 94377 and 94383 is 3.

GCF(94377,94383) = 3

We will now calculate the prime factors of 94377 and 94383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94377 and 94383.

How to find the GCF of 94377 and 94383?

We will first find the prime factorization of 94377 and 94383. After we will calculate the factors of 94377 and 94383 and find the biggest common factor number .

Step-1: Prime Factorization of 94377

Prime factors of 94377 are 3, 163, 193. Prime factorization of 94377 in exponential form is:

94377 = 3¹ × 163¹ × 193¹

Step-2: Prime Factorization of 94383

Prime factors of 94383 are 3, 10487. Prime factorization of 94383 in exponential form is:

94383 = 3² × 10487¹

Step-3: Factors of 94377

List of positive integer factors of 94377 that divides 94377 without a remainder.

1, 3, 163, 193, 489, 579, 31459

Step-4: Factors of 94383

List of positive integer factors of 94383 that divides 94377 without a remainder.

1, 3, 9, 10487, 31461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94377 and 94383. The biggest common factor number is the GCF number.
So the greatest common factor 94377 and 94383 is 3.

Also check out the Least Common Multiple of 94377 and 94383