What is the Greatest Common Factor of 99576 and 99585?

Greatest common factor (GCF) of 99576 and 99585 is 9.

GCF(99576,99585) = 9

We will now calculate the prime factors of 99576 and 99585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99576 and 99585.

How to find the GCF of 99576 and 99585?

We will first find the prime factorization of 99576 and 99585. After we will calculate the factors of 99576 and 99585 and find the biggest common factor number .

Step-1: Prime Factorization of 99576

Prime factors of 99576 are 2, 3, 461. Prime factorization of 99576 in exponential form is:

99576 = 2³ × 3³ × 461¹

Step-2: 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-3: Factors of 99576

List of positive integer factors of 99576 that divides 99576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 461, 922, 1383, 1844, 2766, 3688, 4149, 5532, 8298, 11064, 12447, 16596, 24894, 33192, 49788

Step-4: Factors of 99585

List of positive integer factors of 99585 that divides 99576 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99576 and 99585. The biggest common factor number is the GCF number.
So the greatest common factor 99576 and 99585 is 9.

Also check out the Least Common Multiple of 99576 and 99585