What is the Greatest Common Factor of 96735 and 96739?

Greatest common factor (GCF) of 96735 and 96739 is 1.

GCF(96735,96739) = 1

We will now calculate the prime factors of 96735 and 96739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96735 and 96739.

How to find the GCF of 96735 and 96739?

We will first find the prime factorization of 96735 and 96739. After we will calculate the factors of 96735 and 96739 and find the biggest common factor number .

Step-1: Prime Factorization of 96735

Prime factors of 96735 are 3, 5, 6449. Prime factorization of 96735 in exponential form is:

96735 = 3¹ × 5¹ × 6449¹

Step-2: Prime Factorization of 96739

Prime factors of 96739 are 96739. Prime factorization of 96739 in exponential form is:

96739 = 96739¹

Step-3: Factors of 96735

List of positive integer factors of 96735 that divides 96735 without a remainder.

1, 3, 5, 15, 6449, 19347, 32245

Step-4: Factors of 96739

List of positive integer factors of 96739 that divides 96735 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96735 and 96739. The biggest common factor number is the GCF number.
So the greatest common factor 96735 and 96739 is 1.

Also check out the Least Common Multiple of 96735 and 96739