What is the Greatest Common Factor of 99909 and 99924?

Greatest common factor (GCF) of 99909 and 99924 is 3.

GCF(99909,99924) = 3

We will now calculate the prime factors of 99909 and 99924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99909 and 99924.

How to find the GCF of 99909 and 99924?

We will first find the prime factorization of 99909 and 99924. After we will calculate the factors of 99909 and 99924 and find the biggest common factor number .

Step-1: Prime Factorization of 99909

Prime factors of 99909 are 3, 17, 653. Prime factorization of 99909 in exponential form is:

99909 = 3² × 17¹ × 653¹

Step-2: Prime Factorization of 99924

Prime factors of 99924 are 2, 3, 11, 757. Prime factorization of 99924 in exponential form is:

99924 = 2² × 3¹ × 11¹ × 757¹

Step-3: Factors of 99909

List of positive integer factors of 99909 that divides 99909 without a remainder.

1, 3, 9, 17, 51, 153, 653, 1959, 5877, 11101, 33303

Step-4: Factors of 99924

List of positive integer factors of 99924 that divides 99909 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 757, 1514, 2271, 3028, 4542, 8327, 9084, 16654, 24981, 33308, 49962

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99909 and 99924. The biggest common factor number is the GCF number.
So the greatest common factor 99909 and 99924 is 3.

Also check out the Least Common Multiple of 99909 and 99924