What is the Greatest Common Factor of 96709 and 96721?

Greatest common factor (GCF) of 96709 and 96721 is 1.

GCF(96709,96721) = 1

We will now calculate the prime factors of 96709 and 96721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96709 and 96721.

How to find the GCF of 96709 and 96721?

We will first find the prime factorization of 96709 and 96721. After we will calculate the factors of 96709 and 96721 and find the biggest common factor number .

Step-1: Prime Factorization of 96709

Prime factors of 96709 are 97, 997. Prime factorization of 96709 in exponential form is:

96709 = 97¹ × 997¹

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 96709

List of positive integer factors of 96709 that divides 96709 without a remainder.

1, 97, 997

Step-4: Factors of 96721

List of positive integer factors of 96721 that divides 96709 without a remainder.

1, 311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96709 and 96721. The biggest common factor number is the GCF number.
So the greatest common factor 96709 and 96721 is 1.

Also check out the Least Common Multiple of 96709 and 96721