What is the Greatest Common Factor of 93825 and 93829?

Greatest common factor (GCF) of 93825 and 93829 is 1.

GCF(93825,93829) = 1

We will now calculate the prime factors of 93825 and 93829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93825 and 93829.

How to find the GCF of 93825 and 93829?

We will first find the prime factorization of 93825 and 93829. After we will calculate the factors of 93825 and 93829 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 93829

Prime factors of 93829 are 101, 929. Prime factorization of 93829 in exponential form is:

93829 = 101¹ × 929¹

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 93829

List of positive integer factors of 93829 that divides 93825 without a remainder.

1, 101, 929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93825 and 93829. The biggest common factor number is the GCF number.
So the greatest common factor 93825 and 93829 is 1.

Also check out the Least Common Multiple of 93825 and 93829