What is the Greatest Common Factor of 96912 and 96916?

Greatest common factor (GCF) of 96912 and 96916 is 4.

GCF(96912,96916) = 4

We will now calculate the prime factors of 96912 and 96916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96912 and 96916.

How to find the GCF of 96912 and 96916?

We will first find the prime factorization of 96912 and 96916. After we will calculate the factors of 96912 and 96916 and find the biggest common factor number .

Step-1: Prime Factorization of 96912

Prime factors of 96912 are 2, 3, 673. Prime factorization of 96912 in exponential form is:

96912 = 2⁴ × 3² × 673¹

Step-2: Prime Factorization of 96916

Prime factors of 96916 are 2, 24229. Prime factorization of 96916 in exponential form is:

96916 = 2² × 24229¹

Step-3: Factors of 96912

List of positive integer factors of 96912 that divides 96912 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 673, 1346, 2019, 2692, 4038, 5384, 6057, 8076, 10768, 12114, 16152, 24228, 32304, 48456

Step-4: Factors of 96916

List of positive integer factors of 96916 that divides 96912 without a remainder.

1, 2, 4, 24229, 48458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96912 and 96916. The biggest common factor number is the GCF number.
So the greatest common factor 96912 and 96916 is 4.

Also check out the Least Common Multiple of 96912 and 96916