What is the Greatest Common Factor of 94365 and 94385?

Greatest common factor (GCF) of 94365 and 94385 is 5.

GCF(94365,94385) = 5

We will now calculate the prime factors of 94365 and 94385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94365 and 94385.

How to find the GCF of 94365 and 94385?

We will first find the prime factorization of 94365 and 94385. After we will calculate the factors of 94365 and 94385 and find the biggest common factor number .

Step-1: Prime Factorization of 94365

Prime factors of 94365 are 3, 5, 233. Prime factorization of 94365 in exponential form is:

94365 = 3⁴ × 5¹ × 233¹

Step-2: Prime Factorization of 94385

Prime factors of 94385 are 5, 43, 439. Prime factorization of 94385 in exponential form is:

94385 = 5¹ × 43¹ × 439¹

Step-3: Factors of 94365

List of positive integer factors of 94365 that divides 94365 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 233, 405, 699, 1165, 2097, 3495, 6291, 10485, 18873, 31455

Step-4: Factors of 94385

List of positive integer factors of 94385 that divides 94365 without a remainder.

1, 5, 43, 215, 439, 2195, 18877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94365 and 94385. The biggest common factor number is the GCF number.
So the greatest common factor 94365 and 94385 is 5.

Also check out the Least Common Multiple of 94365 and 94385