What is the Greatest Common Factor of 99114 and 99132?

Greatest common factor (GCF) of 99114 and 99132 is 6.

GCF(99114,99132) = 6

We will now calculate the prime factors of 99114 and 99132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99114 and 99132.

How to find the GCF of 99114 and 99132?

We will first find the prime factorization of 99114 and 99132. After we will calculate the factors of 99114 and 99132 and find the biggest common factor number .

Step-1: Prime Factorization of 99114

Prime factors of 99114 are 2, 3, 16519. Prime factorization of 99114 in exponential form is:

99114 = 2¹ × 3¹ × 16519¹

Step-2: Prime Factorization of 99132

Prime factors of 99132 are 2, 3, 11, 751. Prime factorization of 99132 in exponential form is:

99132 = 2² × 3¹ × 11¹ × 751¹

Step-3: Factors of 99114

List of positive integer factors of 99114 that divides 99114 without a remainder.

1, 2, 3, 6, 16519, 33038, 49557

Step-4: Factors of 99132

List of positive integer factors of 99132 that divides 99114 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 751, 1502, 2253, 3004, 4506, 8261, 9012, 16522, 24783, 33044, 49566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99114 and 99132. The biggest common factor number is the GCF number.
So the greatest common factor 99114 and 99132 is 6.

Also check out the Least Common Multiple of 99114 and 99132