What is the Greatest Common Factor of 96825 and 96834?

Greatest common factor (GCF) of 96825 and 96834 is 3.

GCF(96825,96834) = 3

We will now calculate the prime factors of 96825 and 96834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96825 and 96834.

How to find the GCF of 96825 and 96834?

We will first find the prime factorization of 96825 and 96834. After we will calculate the factors of 96825 and 96834 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 96834

Prime factors of 96834 are 2, 3, 16139. Prime factorization of 96834 in exponential form is:

96834 = 2¹ × 3¹ × 16139¹

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 96834

List of positive integer factors of 96834 that divides 96825 without a remainder.

1, 2, 3, 6, 16139, 32278, 48417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96825 and 96834. The biggest common factor number is the GCF number.
So the greatest common factor 96825 and 96834 is 3.

Also check out the Least Common Multiple of 96825 and 96834