What is the Greatest Common Factor of 99606 and 99612?

Greatest common factor (GCF) of 99606 and 99612 is 6.

GCF(99606,99612) = 6

We will now calculate the prime factors of 99606 and 99612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99606 and 99612.

How to find the GCF of 99606 and 99612?

We will first find the prime factorization of 99606 and 99612. After we will calculate the factors of 99606 and 99612 and find the biggest common factor number .

Step-1: Prime Factorization of 99606

Prime factors of 99606 are 2, 3, 13, 1277. Prime factorization of 99606 in exponential form is:

99606 = 2¹ × 3¹ × 13¹ × 1277¹

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 99606

List of positive integer factors of 99606 that divides 99606 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1277, 2554, 3831, 7662, 16601, 33202, 49803

Step-4: Factors of 99612

List of positive integer factors of 99612 that divides 99606 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 99606 and 99612. The biggest common factor number is the GCF number.
So the greatest common factor 99606 and 99612 is 6.

Also check out the Least Common Multiple of 99606 and 99612