What is the Greatest Common Factor of 99585 and 99594?

Greatest common factor (GCF) of 99585 and 99594 is 9.

GCF(99585,99594) = 9

We will now calculate the prime factors of 99585 and 99594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99585 and 99594.

How to find the GCF of 99585 and 99594?

We will first find the prime factorization of 99585 and 99594. After we will calculate the factors of 99585 and 99594 and find the biggest common factor number .

Step-1: Prime Factorization of 99585

Prime factors of 99585 are 3, 5, 2213. Prime factorization of 99585 in exponential form is:

99585 = 3² × 5¹ × 2213¹

Step-2: 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-3: Factors of 99585

List of positive integer factors of 99585 that divides 99585 without a remainder.

1, 3, 5, 9, 15, 45, 2213, 6639, 11065, 19917, 33195

Step-4: Factors of 99594

List of positive integer factors of 99594 that divides 99585 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99585 and 99594. The biggest common factor number is the GCF number.
So the greatest common factor 99585 and 99594 is 9.

Also check out the Least Common Multiple of 99585 and 99594