What is the Greatest Common Factor of 99594 and 99612?

Greatest common factor (GCF) of 99594 and 99612 is 18.

GCF(99594,99612) = 18

We will now calculate the prime factors of 99594 and 99612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99594 and 99612.

How to find the GCF of 99594 and 99612?

We will first find the prime factorization of 99594 and 99612. After we will calculate the factors of 99594 and 99612 and find the biggest common factor number .

Step-1: Prime Factorization of 99594

Prime factors of 99594 are 2, 3, 11, 503. Prime factorization of 99594 in exponential form is:

99594 = 2¹ × 3² × 11¹ × 503¹

Step-2: Prime Factorization of 99612

Prime factors of 99612 are 2, 3, 2767. Prime factorization of 99612 in exponential form is:

99612 = 2² × 3² × 2767¹

Step-3: Factors of 99594

List of positive integer factors of 99594 that divides 99594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 503, 1006, 1509, 3018, 4527, 5533, 9054, 11066, 16599, 33198, 49797

Step-4: Factors of 99612

List of positive integer factors of 99612 that divides 99594 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2767, 5534, 8301, 11068, 16602, 24903, 33204, 49806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99594 and 99612. The biggest common factor number is the GCF number.
So the greatest common factor 99594 and 99612 is 18.

Also check out the Least Common Multiple of 99594 and 99612