What is the Greatest Common Factor of 96912 and 96930?

Greatest common factor (GCF) of 96912 and 96930 is 18.

GCF(96912,96930) = 18

We will now calculate the prime factors of 96912 and 96930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96912 and 96930.

How to find the GCF of 96912 and 96930?

We will first find the prime factorization of 96912 and 96930. After we will calculate the factors of 96912 and 96930 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 96930

Prime factors of 96930 are 2, 3, 5, 359. Prime factorization of 96930 in exponential form is:

96930 = 2¹ × 3³ × 5¹ × 359¹

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 96930

List of positive integer factors of 96930 that divides 96912 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 359, 718, 1077, 1795, 2154, 3231, 3590, 5385, 6462, 9693, 10770, 16155, 19386, 32310, 48465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96912 and 96930. The biggest common factor number is the GCF number.
So the greatest common factor 96912 and 96930 is 18.

Also check out the Least Common Multiple of 96912 and 96930