What is the Greatest Common Factor of 96801 and 96817?

Greatest common factor (GCF) of 96801 and 96817 is 1.

GCF(96801,96817) = 1

We will now calculate the prime factors of 96801 and 96817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96801 and 96817.

How to find the GCF of 96801 and 96817?

We will first find the prime factorization of 96801 and 96817. After we will calculate the factors of 96801 and 96817 and find the biggest common factor number .

Step-1: Prime Factorization of 96801

Prime factors of 96801 are 3, 41, 787. Prime factorization of 96801 in exponential form is:

96801 = 3¹ × 41¹ × 787¹

Step-2: Prime Factorization of 96817

Prime factors of 96817 are 7, 13831. Prime factorization of 96817 in exponential form is:

96817 = 7¹ × 13831¹

Step-3: Factors of 96801

List of positive integer factors of 96801 that divides 96801 without a remainder.

1, 3, 41, 123, 787, 2361, 32267

Step-4: Factors of 96817

List of positive integer factors of 96817 that divides 96801 without a remainder.

1, 7, 13831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96801 and 96817. The biggest common factor number is the GCF number.
So the greatest common factor 96801 and 96817 is 1.

Also check out the Least Common Multiple of 96801 and 96817