What is the Greatest Common Factor of 96849 and 96855?

Greatest common factor (GCF) of 96849 and 96855 is 3.

GCF(96849,96855) = 3

We will now calculate the prime factors of 96849 and 96855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96849 and 96855.

How to find the GCF of 96849 and 96855?

We will first find the prime factorization of 96849 and 96855. After we will calculate the factors of 96849 and 96855 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 96855

Prime factors of 96855 are 3, 5, 11, 587. Prime factorization of 96855 in exponential form is:

96855 = 3¹ × 5¹ × 11¹ × 587¹

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 96855

List of positive integer factors of 96855 that divides 96849 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 587, 1761, 2935, 6457, 8805, 19371, 32285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96849 and 96855. The biggest common factor number is the GCF number.
So the greatest common factor 96849 and 96855 is 3.

Also check out the Least Common Multiple of 96849 and 96855