What is the Greatest Common Factor of 96975 and 96993?

Greatest common factor (GCF) of 96975 and 96993 is 9.

GCF(96975,96993) = 9

We will now calculate the prime factors of 96975 and 96993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96975 and 96993.

How to find the GCF of 96975 and 96993?

We will first find the prime factorization of 96975 and 96993. After we will calculate the factors of 96975 and 96993 and find the biggest common factor number .

Step-1: Prime Factorization of 96975

Prime factors of 96975 are 3, 5, 431. Prime factorization of 96975 in exponential form is:

96975 = 3² × 5² × 431¹

Step-2: Prime Factorization of 96993

Prime factors of 96993 are 3, 13, 829. Prime factorization of 96993 in exponential form is:

96993 = 3² × 13¹ × 829¹

Step-3: Factors of 96975

List of positive integer factors of 96975 that divides 96975 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 431, 1293, 2155, 3879, 6465, 10775, 19395, 32325

Step-4: Factors of 96993

List of positive integer factors of 96993 that divides 96975 without a remainder.

1, 3, 9, 13, 39, 117, 829, 2487, 7461, 10777, 32331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96975 and 96993. The biggest common factor number is the GCF number.
So the greatest common factor 96975 and 96993 is 9.

Also check out the Least Common Multiple of 96975 and 96993