What is the Greatest Common Factor of 96459 and 96474?

Greatest common factor (GCF) of 96459 and 96474 is 3.

GCF(96459,96474) = 3

We will now calculate the prime factors of 96459 and 96474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96459 and 96474.

How to find the GCF of 96459 and 96474?

We will first find the prime factorization of 96459 and 96474. After we will calculate the factors of 96459 and 96474 and find the biggest common factor number .

Step-1: Prime Factorization of 96459

Prime factors of 96459 are 3, 11, 37, 79. Prime factorization of 96459 in exponential form is:

96459 = 3¹ × 11¹ × 37¹ × 79¹

Step-2: Prime Factorization of 96474

Prime factors of 96474 are 2, 3, 7, 2297. Prime factorization of 96474 in exponential form is:

96474 = 2¹ × 3¹ × 7¹ × 2297¹

Step-3: Factors of 96459

List of positive integer factors of 96459 that divides 96459 without a remainder.

1, 3, 11, 33, 37, 79, 111, 237, 407, 869, 1221, 2607, 2923, 8769, 32153

Step-4: Factors of 96474

List of positive integer factors of 96474 that divides 96459 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2297, 4594, 6891, 13782, 16079, 32158, 48237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96459 and 96474. The biggest common factor number is the GCF number.
So the greatest common factor 96459 and 96474 is 3.

Also check out the Least Common Multiple of 96459 and 96474