What is the Greatest Common Factor of 96686 and 96696?

Greatest common factor (GCF) of 96686 and 96696 is 2.

GCF(96686,96696) = 2

We will now calculate the prime factors of 96686 and 96696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96686 and 96696.

How to find the GCF of 96686 and 96696?

We will first find the prime factorization of 96686 and 96696. After we will calculate the factors of 96686 and 96696 and find the biggest common factor number .

Step-1: Prime Factorization of 96686

Prime factors of 96686 are 2, 29, 1667. Prime factorization of 96686 in exponential form is:

96686 = 2¹ × 29¹ × 1667¹

Step-2: Prime Factorization of 96696

Prime factors of 96696 are 2, 3, 17, 79. Prime factorization of 96696 in exponential form is:

96696 = 2³ × 3² × 17¹ × 79¹

Step-3: Factors of 96686

List of positive integer factors of 96686 that divides 96686 without a remainder.

1, 2, 29, 58, 1667, 3334, 48343

Step-4: Factors of 96696

List of positive integer factors of 96696 that divides 96686 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 79, 102, 136, 153, 158, 204, 237, 306, 316, 408, 474, 612, 632, 711, 948, 1224, 1343, 1422, 1896, 2686, 2844, 4029, 5372, 5688, 8058, 10744, 12087, 16116, 24174, 32232, 48348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96686 and 96696. The biggest common factor number is the GCF number.
So the greatest common factor 96686 and 96696 is 2.

Also check out the Least Common Multiple of 96686 and 96696