What is the Greatest Common Factor of 96595 and 96605?

Greatest common factor (GCF) of 96595 and 96605 is 5.

GCF(96595,96605) = 5

We will now calculate the prime factors of 96595 and 96605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96595 and 96605.

How to find the GCF of 96595 and 96605?

We will first find the prime factorization of 96595 and 96605. After we will calculate the factors of 96595 and 96605 and find the biggest common factor number .

Step-1: Prime Factorization of 96595

Prime factors of 96595 are 5, 19319. Prime factorization of 96595 in exponential form is:

96595 = 5¹ × 19319¹

Step-2: Prime Factorization of 96605

Prime factors of 96605 are 5, 139. Prime factorization of 96605 in exponential form is:

96605 = 5¹ × 139²

Step-3: Factors of 96595

List of positive integer factors of 96595 that divides 96595 without a remainder.

1, 5, 19319

Step-4: Factors of 96605

List of positive integer factors of 96605 that divides 96595 without a remainder.

1, 5, 139, 695, 19321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96595 and 96605. The biggest common factor number is the GCF number.
So the greatest common factor 96595 and 96605 is 5.

Also check out the Least Common Multiple of 96595 and 96605