What is the Greatest Common Factor of 96849 and 96866?

Greatest common factor (GCF) of 96849 and 96866 is 17.

GCF(96849,96866) = 17

We will now calculate the prime factors of 96849 and 96866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96849 and 96866.

How to find the GCF of 96849 and 96866?

We will first find the prime factorization of 96849 and 96866. After we will calculate the factors of 96849 and 96866 and find the biggest common factor number .

Step-1: Prime Factorization of 96849

Prime factors of 96849 are 3, 17, 211. Prime factorization of 96849 in exponential form is:

96849 = 3³ × 17¹ × 211¹

Step-2: 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-3: Factors of 96849

List of positive integer factors of 96849 that divides 96849 without a remainder.

1, 3, 9, 17, 27, 51, 153, 211, 459, 633, 1899, 3587, 5697, 10761, 32283

Step-4: Factors of 96866

List of positive integer factors of 96866 that divides 96849 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96849 and 96866. The biggest common factor number is the GCF number.
So the greatest common factor 96849 and 96866 is 17.

Also check out the Least Common Multiple of 96849 and 96866