What is the Greatest Common Factor of 96909 and 96924?

Greatest common factor (GCF) of 96909 and 96924 is 3.

GCF(96909,96924) = 3

We will now calculate the prime factors of 96909 and 96924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96909 and 96924.

How to find the GCF of 96909 and 96924?

We will first find the prime factorization of 96909 and 96924. After we will calculate the factors of 96909 and 96924 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 96924

Prime factors of 96924 are 2, 3, 41, 197. Prime factorization of 96924 in exponential form is:

96924 = 2² × 3¹ × 41¹ × 197¹

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 96924

List of positive integer factors of 96924 that divides 96909 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 197, 246, 394, 492, 591, 788, 1182, 2364, 8077, 16154, 24231, 32308, 48462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96909 and 96924. The biggest common factor number is the GCF number.
So the greatest common factor 96909 and 96924 is 3.

Also check out the Least Common Multiple of 96909 and 96924