What is the Greatest Common Factor of 96596 and 96605?

Greatest common factor (GCF) of 96596 and 96605 is 1.

GCF(96596,96605) = 1

We will now calculate the prime factors of 96596 and 96605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96596 and 96605.

How to find the GCF of 96596 and 96605?

We will first find the prime factorization of 96596 and 96605. After we will calculate the factors of 96596 and 96605 and find the biggest common factor number .

Step-1: Prime Factorization of 96596

Prime factors of 96596 are 2, 19, 31, 41. Prime factorization of 96596 in exponential form is:

96596 = 2² × 19¹ × 31¹ × 41¹

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 96596

List of positive integer factors of 96596 that divides 96596 without a remainder.

1, 2, 4, 19, 31, 38, 41, 62, 76, 82, 124, 164, 589, 779, 1178, 1271, 1558, 2356, 2542, 3116, 5084, 24149, 48298

Step-4: Factors of 96605

List of positive integer factors of 96605 that divides 96596 without a remainder.

1, 5, 139, 695, 19321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96596 and 96605. The biggest common factor number is the GCF number.
So the greatest common factor 96596 and 96605 is 1.

Also check out the Least Common Multiple of 96596 and 96605