What is the Greatest Common Factor of 96961 and 96975?

Greatest common factor (GCF) of 96961 and 96975 is 1.

GCF(96961,96975) = 1

We will now calculate the prime factors of 96961 and 96975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96961 and 96975.

How to find the GCF of 96961 and 96975?

We will first find the prime factorization of 96961 and 96975. After we will calculate the factors of 96961 and 96975 and find the biggest common factor number .

Step-1: Prime Factorization of 96961

Prime factors of 96961 are 47, 2063. Prime factorization of 96961 in exponential form is:

96961 = 47¹ × 2063¹

Step-2: 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-3: Factors of 96961

List of positive integer factors of 96961 that divides 96961 without a remainder.

1, 47, 2063

Step-4: Factors of 96975

List of positive integer factors of 96975 that divides 96961 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96961 and 96975. The biggest common factor number is the GCF number.
So the greatest common factor 96961 and 96975 is 1.

Also check out the Least Common Multiple of 96961 and 96975