What is the Greatest Common Factor of 96894 and 96912?

Greatest common factor (GCF) of 96894 and 96912 is 18.

GCF(96894,96912) = 18

We will now calculate the prime factors of 96894 and 96912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96894 and 96912.

How to find the GCF of 96894 and 96912?

We will first find the prime factorization of 96894 and 96912. After we will calculate the factors of 96894 and 96912 and find the biggest common factor number .

Step-1: Prime Factorization of 96894

Prime factors of 96894 are 2, 3, 7, 769. Prime factorization of 96894 in exponential form is:

96894 = 2¹ × 3² × 7¹ × 769¹

Step-2: 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-3: Factors of 96894

List of positive integer factors of 96894 that divides 96894 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 769, 1538, 2307, 4614, 5383, 6921, 10766, 13842, 16149, 32298, 48447

Step-4: Factors of 96912

List of positive integer factors of 96912 that divides 96894 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96894 and 96912. The biggest common factor number is the GCF number.
So the greatest common factor 96894 and 96912 is 18.

Also check out the Least Common Multiple of 96894 and 96912