What is the Greatest Common Factor of 93805 and 93825?

Greatest common factor (GCF) of 93805 and 93825 is 5.

GCF(93805,93825) = 5

We will now calculate the prime factors of 93805 and 93825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93805 and 93825.

How to find the GCF of 93805 and 93825?

We will first find the prime factorization of 93805 and 93825. After we will calculate the factors of 93805 and 93825 and find the biggest common factor number .

Step-1: Prime Factorization of 93805

Prime factors of 93805 are 5, 73, 257. Prime factorization of 93805 in exponential form is:

93805 = 5¹ × 73¹ × 257¹

Step-2: Prime Factorization of 93825

Prime factors of 93825 are 3, 5, 139. Prime factorization of 93825 in exponential form is:

93825 = 3³ × 5² × 139¹

Step-3: Factors of 93805

List of positive integer factors of 93805 that divides 93805 without a remainder.

1, 5, 73, 257, 365, 1285, 18761

Step-4: Factors of 93825

List of positive integer factors of 93825 that divides 93805 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 139, 225, 417, 675, 695, 1251, 2085, 3475, 3753, 6255, 10425, 18765, 31275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93805 and 93825. The biggest common factor number is the GCF number.
So the greatest common factor 93805 and 93825 is 5.

Also check out the Least Common Multiple of 93805 and 93825