What is the Greatest Common Factor of 96909 and 96915?

Greatest common factor (GCF) of 96909 and 96915 is 3.

GCF(96909,96915) = 3

We will now calculate the prime factors of 96909 and 96915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96909 and 96915.

How to find the GCF of 96909 and 96915?

We will first find the prime factorization of 96909 and 96915. After we will calculate the factors of 96909 and 96915 and find the biggest common factor number .

Step-1: Prime Factorization of 96909

Prime factors of 96909 are 3, 32303. Prime factorization of 96909 in exponential form is:

96909 = 3¹ × 32303¹

Step-2: Prime Factorization of 96915

Prime factors of 96915 are 3, 5, 7, 13, 71. Prime factorization of 96915 in exponential form is:

96915 = 3¹ × 5¹ × 7¹ × 13¹ × 71¹

Step-3: Factors of 96909

List of positive integer factors of 96909 that divides 96909 without a remainder.

1, 3, 32303

Step-4: Factors of 96915

List of positive integer factors of 96915 that divides 96909 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 39, 65, 71, 91, 105, 195, 213, 273, 355, 455, 497, 923, 1065, 1365, 1491, 2485, 2769, 4615, 6461, 7455, 13845, 19383, 32305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96909 and 96915. The biggest common factor number is the GCF number.
So the greatest common factor 96909 and 96915 is 3.

Also check out the Least Common Multiple of 96909 and 96915