What is the Greatest Common Factor of 96596 and 96615?

Greatest common factor (GCF) of 96596 and 96615 is 19.

GCF(96596,96615) = 19

We will now calculate the prime factors of 96596 and 96615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96596 and 96615.

How to find the GCF of 96596 and 96615?

We will first find the prime factorization of 96596 and 96615. After we will calculate the factors of 96596 and 96615 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 96615

Prime factors of 96615 are 3, 5, 19, 113. Prime factorization of 96615 in exponential form is:

96615 = 3² × 5¹ × 19¹ × 113¹

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 96615

List of positive integer factors of 96615 that divides 96596 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 113, 171, 285, 339, 565, 855, 1017, 1695, 2147, 5085, 6441, 10735, 19323, 32205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96596 and 96615. The biggest common factor number is the GCF number.
So the greatest common factor 96596 and 96615 is 19.

Also check out the Least Common Multiple of 96596 and 96615