What is the Greatest Common Factor of 96825 and 96835?

Greatest common factor (GCF) of 96825 and 96835 is 5.

GCF(96825,96835) = 5

We will now calculate the prime factors of 96825 and 96835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96825 and 96835.

How to find the GCF of 96825 and 96835?

We will first find the prime factorization of 96825 and 96835. After we will calculate the factors of 96825 and 96835 and find the biggest common factor number .

Step-1: Prime Factorization of 96825

Prime factors of 96825 are 3, 5, 1291. Prime factorization of 96825 in exponential form is:

96825 = 3¹ × 5² × 1291¹

Step-2: Prime Factorization of 96835

Prime factors of 96835 are 5, 107, 181. Prime factorization of 96835 in exponential form is:

96835 = 5¹ × 107¹ × 181¹

Step-3: Factors of 96825

List of positive integer factors of 96825 that divides 96825 without a remainder.

1, 3, 5, 15, 25, 75, 1291, 3873, 6455, 19365, 32275

Step-4: Factors of 96835

List of positive integer factors of 96835 that divides 96825 without a remainder.

1, 5, 107, 181, 535, 905, 19367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96825 and 96835. The biggest common factor number is the GCF number.
So the greatest common factor 96825 and 96835 is 5.

Also check out the Least Common Multiple of 96825 and 96835