What is the Greatest Common Factor of 96305 and 96315?

Greatest common factor (GCF) of 96305 and 96315 is 5.

GCF(96305,96315) = 5

We will now calculate the prime factors of 96305 and 96315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96305 and 96315.

How to find the GCF of 96305 and 96315?

We will first find the prime factorization of 96305 and 96315. After we will calculate the factors of 96305 and 96315 and find the biggest common factor number .

Step-1: Prime Factorization of 96305

Prime factors of 96305 are 5, 11, 17, 103. Prime factorization of 96305 in exponential form is:

96305 = 5¹ × 11¹ × 17¹ × 103¹

Step-2: Prime Factorization of 96315

Prime factors of 96315 are 3, 5, 6421. Prime factorization of 96315 in exponential form is:

96315 = 3¹ × 5¹ × 6421¹

Step-3: Factors of 96305

List of positive integer factors of 96305 that divides 96305 without a remainder.

1, 5, 11, 17, 55, 85, 103, 187, 515, 935, 1133, 1751, 5665, 8755, 19261

Step-4: Factors of 96315

List of positive integer factors of 96315 that divides 96305 without a remainder.

1, 3, 5, 15, 6421, 19263, 32105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96305 and 96315. The biggest common factor number is the GCF number.
So the greatest common factor 96305 and 96315 is 5.

Also check out the Least Common Multiple of 96305 and 96315