What is the Greatest Common Factor of 96866 and 96872?

Greatest common factor (GCF) of 96866 and 96872 is 2.

GCF(96866,96872) = 2

We will now calculate the prime factors of 96866 and 96872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96866 and 96872.

How to find the GCF of 96866 and 96872?

We will first find the prime factorization of 96866 and 96872. After we will calculate the factors of 96866 and 96872 and find the biggest common factor number .

Step-1: Prime Factorization of 96866

Prime factors of 96866 are 2, 7, 11, 17, 37. Prime factorization of 96866 in exponential form is:

96866 = 2¹ × 7¹ × 11¹ × 17¹ × 37¹

Step-2: Prime Factorization of 96872

Prime factors of 96872 are 2, 12109. Prime factorization of 96872 in exponential form is:

96872 = 2³ × 12109¹

Step-3: Factors of 96866

List of positive integer factors of 96866 that divides 96866 without a remainder.

1, 2, 7, 11, 14, 17, 22, 34, 37, 74, 77, 119, 154, 187, 238, 259, 374, 407, 518, 629, 814, 1258, 1309, 2618, 2849, 4403, 5698, 6919, 8806, 13838, 48433

Step-4: Factors of 96872

List of positive integer factors of 96872 that divides 96866 without a remainder.

1, 2, 4, 8, 12109, 24218, 48436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96866 and 96872. The biggest common factor number is the GCF number.
So the greatest common factor 96866 and 96872 is 2.

Also check out the Least Common Multiple of 96866 and 96872