What is the Greatest Common Factor of 96596 and 96614?

Greatest common factor (GCF) of 96596 and 96614 is 2.

GCF(96596,96614) = 2

We will now calculate the prime factors of 96596 and 96614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96596 and 96614.

How to find the GCF of 96596 and 96614?

We will first find the prime factorization of 96596 and 96614. After we will calculate the factors of 96596 and 96614 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 96614

Prime factors of 96614 are 2, 7, 67, 103. Prime factorization of 96614 in exponential form is:

96614 = 2¹ × 7¹ × 67¹ × 103¹

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 96614

List of positive integer factors of 96614 that divides 96596 without a remainder.

1, 2, 7, 14, 67, 103, 134, 206, 469, 721, 938, 1442, 6901, 13802, 48307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96596 and 96614. The biggest common factor number is the GCF number.
So the greatest common factor 96596 and 96614 is 2.

Also check out the Least Common Multiple of 96596 and 96614