What is the Greatest Common Factor of 96849 and 96858?

Greatest common factor (GCF) of 96849 and 96858 is 9.

GCF(96849,96858) = 9

We will now calculate the prime factors of 96849 and 96858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96849 and 96858.

How to find the GCF of 96849 and 96858?

We will first find the prime factorization of 96849 and 96858. After we will calculate the factors of 96849 and 96858 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 96858

Prime factors of 96858 are 2, 3, 5381. Prime factorization of 96858 in exponential form is:

96858 = 2¹ × 3² × 5381¹

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 96858

List of positive integer factors of 96858 that divides 96849 without a remainder.

1, 2, 3, 6, 9, 18, 5381, 10762, 16143, 32286, 48429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96849 and 96858. The biggest common factor number is the GCF number.
So the greatest common factor 96849 and 96858 is 9.

Also check out the Least Common Multiple of 96849 and 96858