What is the Greatest Common Factor of 96903 and 96918?

Greatest common factor (GCF) of 96903 and 96918 is 3.

GCF(96903,96918) = 3

We will now calculate the prime factors of 96903 and 96918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96903 and 96918.

How to find the GCF of 96903 and 96918?

We will first find the prime factorization of 96903 and 96918. After we will calculate the factors of 96903 and 96918 and find the biggest common factor number .

Step-1: Prime Factorization of 96903

Prime factors of 96903 are 3, 37, 97. Prime factorization of 96903 in exponential form is:

96903 = 3³ × 37¹ × 97¹

Step-2: Prime Factorization of 96918

Prime factors of 96918 are 2, 3, 29, 557. Prime factorization of 96918 in exponential form is:

96918 = 2¹ × 3¹ × 29¹ × 557¹

Step-3: Factors of 96903

List of positive integer factors of 96903 that divides 96903 without a remainder.

1, 3, 9, 27, 37, 97, 111, 291, 333, 873, 999, 2619, 3589, 10767, 32301

Step-4: Factors of 96918

List of positive integer factors of 96918 that divides 96903 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 557, 1114, 1671, 3342, 16153, 32306, 48459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96903 and 96918. The biggest common factor number is the GCF number.
So the greatest common factor 96903 and 96918 is 3.

Also check out the Least Common Multiple of 96903 and 96918