What is the Greatest Common Factor of 96730 and 96745?

Greatest common factor (GCF) of 96730 and 96745 is 5.

GCF(96730,96745) = 5

We will now calculate the prime factors of 96730 and 96745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96730 and 96745.

How to find the GCF of 96730 and 96745?

We will first find the prime factorization of 96730 and 96745. After we will calculate the factors of 96730 and 96745 and find the biggest common factor number .

Step-1: Prime Factorization of 96730

Prime factors of 96730 are 2, 5, 17, 569. Prime factorization of 96730 in exponential form is:

96730 = 2¹ × 5¹ × 17¹ × 569¹

Step-2: Prime Factorization of 96745

Prime factors of 96745 are 5, 11, 1759. Prime factorization of 96745 in exponential form is:

96745 = 5¹ × 11¹ × 1759¹

Step-3: Factors of 96730

List of positive integer factors of 96730 that divides 96730 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 569, 1138, 2845, 5690, 9673, 19346, 48365

Step-4: Factors of 96745

List of positive integer factors of 96745 that divides 96730 without a remainder.

1, 5, 11, 55, 1759, 8795, 19349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96730 and 96745. The biggest common factor number is the GCF number.
So the greatest common factor 96730 and 96745 is 5.

Also check out the Least Common Multiple of 96730 and 96745