What is the Greatest Common Factor of 93825 and 93837?

Greatest common factor (GCF) of 93825 and 93837 is 3.

GCF(93825,93837) = 3

We will now calculate the prime factors of 93825 and 93837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93825 and 93837.

How to find the GCF of 93825 and 93837?

We will first find the prime factorization of 93825 and 93837. After we will calculate the factors of 93825 and 93837 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93837

Prime factors of 93837 are 3, 31, 1009. Prime factorization of 93837 in exponential form is:

93837 = 3¹ × 31¹ × 1009¹

Step-3: Factors of 93825

List of positive integer factors of 93825 that divides 93825 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

Step-4: Factors of 93837

List of positive integer factors of 93837 that divides 93825 without a remainder.

1, 3, 31, 93, 1009, 3027, 31279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93825 and 93837. The biggest common factor number is the GCF number.
So the greatest common factor 93825 and 93837 is 3.

Also check out the Least Common Multiple of 93825 and 93837