What is the Greatest Common Factor of 94377 and 94395?

Greatest common factor (GCF) of 94377 and 94395 is 3.

GCF(94377,94395) = 3

We will now calculate the prime factors of 94377 and 94395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94377 and 94395.

How to find the GCF of 94377 and 94395?

We will first find the prime factorization of 94377 and 94395. After we will calculate the factors of 94377 and 94395 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 94395

Prime factors of 94395 are 3, 5, 7, 29, 31. Prime factorization of 94395 in exponential form is:

94395 = 3¹ × 5¹ × 7¹ × 29¹ × 31¹

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 94395

List of positive integer factors of 94395 that divides 94377 without a remainder.

1, 3, 5, 7, 15, 21, 29, 31, 35, 87, 93, 105, 145, 155, 203, 217, 435, 465, 609, 651, 899, 1015, 1085, 2697, 3045, 3255, 4495, 6293, 13485, 18879, 31465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94377 and 94395. The biggest common factor number is the GCF number.
So the greatest common factor 94377 and 94395 is 3.

Also check out the Least Common Multiple of 94377 and 94395