What is the Greatest Common Factor of 96687 and 96696?

Greatest common factor (GCF) of 96687 and 96696 is 9.

GCF(96687,96696) = 9

We will now calculate the prime factors of 96687 and 96696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96687 and 96696.

How to find the GCF of 96687 and 96696?

We will first find the prime factorization of 96687 and 96696. After we will calculate the factors of 96687 and 96696 and find the biggest common factor number .

Step-1: Prime Factorization of 96687

Prime factors of 96687 are 3, 3581. Prime factorization of 96687 in exponential form is:

96687 = 3³ × 3581¹

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 96687

List of positive integer factors of 96687 that divides 96687 without a remainder.

1, 3, 9, 27, 3581, 10743, 32229

Step-4: Factors of 96696

List of positive integer factors of 96696 that divides 96687 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 96687 and 96696. The biggest common factor number is the GCF number.
So the greatest common factor 96687 and 96696 is 9.

Also check out the Least Common Multiple of 96687 and 96696