What is the Greatest Common Factor of 96875 and 96885?

Greatest common factor (GCF) of 96875 and 96885 is 5.

GCF(96875,96885) = 5

We will now calculate the prime factors of 96875 and 96885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96875 and 96885.

How to find the GCF of 96875 and 96885?

We will first find the prime factorization of 96875 and 96885. After we will calculate the factors of 96875 and 96885 and find the biggest common factor number .

Step-1: Prime Factorization of 96875

Prime factors of 96875 are 5, 31. Prime factorization of 96875 in exponential form is:

96875 = 5⁵ × 31¹

Step-2: Prime Factorization of 96885

Prime factors of 96885 are 3, 5, 2153. Prime factorization of 96885 in exponential form is:

96885 = 3² × 5¹ × 2153¹

Step-3: Factors of 96875

List of positive integer factors of 96875 that divides 96875 without a remainder.

1, 5, 25, 31, 125, 155, 625, 775, 3125, 3875, 19375

Step-4: Factors of 96885

List of positive integer factors of 96885 that divides 96875 without a remainder.

1, 3, 5, 9, 15, 45, 2153, 6459, 10765, 19377, 32295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96875 and 96885. The biggest common factor number is the GCF number.
So the greatest common factor 96875 and 96885 is 5.

Also check out the Least Common Multiple of 96875 and 96885