What is the Greatest Common Factor of 96114 and 96132?

Greatest common factor (GCF) of 96114 and 96132 is 6.

GCF(96114,96132) = 6

We will now calculate the prime factors of 96114 and 96132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96114 and 96132.

How to find the GCF of 96114 and 96132?

We will first find the prime factorization of 96114 and 96132. After we will calculate the factors of 96114 and 96132 and find the biggest common factor number .

Step-1: Prime Factorization of 96114

Prime factors of 96114 are 2, 3, 83, 193. Prime factorization of 96114 in exponential form is:

96114 = 2¹ × 3¹ × 83¹ × 193¹

Step-2: Prime Factorization of 96132

Prime factors of 96132 are 2, 3, 8011. Prime factorization of 96132 in exponential form is:

96132 = 2² × 3¹ × 8011¹

Step-3: Factors of 96114

List of positive integer factors of 96114 that divides 96114 without a remainder.

1, 2, 3, 6, 83, 166, 193, 249, 386, 498, 579, 1158, 16019, 32038, 48057

Step-4: Factors of 96132

List of positive integer factors of 96132 that divides 96114 without a remainder.

1, 2, 3, 4, 6, 12, 8011, 16022, 24033, 32044, 48066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96114 and 96132. The biggest common factor number is the GCF number.
So the greatest common factor 96114 and 96132 is 6.

Also check out the Least Common Multiple of 96114 and 96132