What is the Greatest Common Factor of 96596 and 96616?

Greatest common factor (GCF) of 96596 and 96616 is 4.

GCF(96596,96616) = 4

We will now calculate the prime factors of 96596 and 96616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96596 and 96616.

How to find the GCF of 96596 and 96616?

We will first find the prime factorization of 96596 and 96616. After we will calculate the factors of 96596 and 96616 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 96616

Prime factors of 96616 are 2, 13, 929. Prime factorization of 96616 in exponential form is:

96616 = 2³ × 13¹ × 929¹

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 96616

List of positive integer factors of 96616 that divides 96596 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 929, 1858, 3716, 7432, 12077, 24154, 48308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96596 and 96616. The biggest common factor number is the GCF number.
So the greatest common factor 96596 and 96616 is 4.

Also check out the Least Common Multiple of 96596 and 96616