What is the Greatest Common Factor of 96577 and 96596?

Greatest common factor (GCF) of 96577 and 96596 is 19.

GCF(96577,96596) = 19

We will now calculate the prime factors of 96577 and 96596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96577 and 96596.

How to find the GCF of 96577 and 96596?

We will first find the prime factorization of 96577 and 96596. After we will calculate the factors of 96577 and 96596 and find the biggest common factor number .

Step-1: Prime Factorization of 96577

Prime factors of 96577 are 13, 17, 19, 23. Prime factorization of 96577 in exponential form is:

96577 = 13¹ × 17¹ × 19¹ × 23¹

Step-2: 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-3: Factors of 96577

List of positive integer factors of 96577 that divides 96577 without a remainder.

1, 13, 17, 19, 23, 221, 247, 299, 323, 391, 437, 4199, 5083, 5681, 7429

Step-4: Factors of 96596

List of positive integer factors of 96596 that divides 96577 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96577 and 96596. The biggest common factor number is the GCF number.
So the greatest common factor 96577 and 96596 is 19.

Also check out the Least Common Multiple of 96577 and 96596