What is the Greatest Common Factor of 96875 and 96891?

Greatest common factor (GCF) of 96875 and 96891 is 1.

GCF(96875,96891) = 1

We will now calculate the prime factors of 96875 and 96891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96875 and 96891.

How to find the GCF of 96875 and 96891?

We will first find the prime factorization of 96875 and 96891. After we will calculate the factors of 96875 and 96891 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 96891

Prime factors of 96891 are 3, 32297. Prime factorization of 96891 in exponential form is:

96891 = 3¹ × 32297¹

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 96891

List of positive integer factors of 96891 that divides 96875 without a remainder.

1, 3, 32297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96875 and 96891. The biggest common factor number is the GCF number.
So the greatest common factor 96875 and 96891 is 1.

Also check out the Least Common Multiple of 96875 and 96891