What is the Greatest Common Factor of 96705 and 96721?

Greatest common factor (GCF) of 96705 and 96721 is 1.

GCF(96705,96721) = 1

We will now calculate the prime factors of 96705 and 96721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96705 and 96721.

How to find the GCF of 96705 and 96721?

We will first find the prime factorization of 96705 and 96721. After we will calculate the factors of 96705 and 96721 and find the biggest common factor number .

Step-1: Prime Factorization of 96705

Prime factors of 96705 are 3, 5, 7, 307. Prime factorization of 96705 in exponential form is:

96705 = 3² × 5¹ × 7¹ × 307¹

Step-2: Prime Factorization of 96721

Prime factors of 96721 are 311. Prime factorization of 96721 in exponential form is:

96721 = 311²

Step-3: Factors of 96705

List of positive integer factors of 96705 that divides 96705 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 307, 315, 921, 1535, 2149, 2763, 4605, 6447, 10745, 13815, 19341, 32235

Step-4: Factors of 96721

List of positive integer factors of 96721 that divides 96705 without a remainder.

1, 311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96705 and 96721. The biggest common factor number is the GCF number.
So the greatest common factor 96705 and 96721 is 1.

Also check out the Least Common Multiple of 96705 and 96721