What is the Greatest Common Factor of 99489 and 99504?

Greatest common factor (GCF) of 99489 and 99504 is 3.

GCF(99489,99504) = 3

We will now calculate the prime factors of 99489 and 99504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99489 and 99504.

How to find the GCF of 99489 and 99504?

We will first find the prime factorization of 99489 and 99504. After we will calculate the factors of 99489 and 99504 and find the biggest common factor number .

Step-1: Prime Factorization of 99489

Prime factors of 99489 are 3, 13, 2551. Prime factorization of 99489 in exponential form is:

99489 = 3¹ × 13¹ × 2551¹

Step-2: Prime Factorization of 99504

Prime factors of 99504 are 2, 3, 691. Prime factorization of 99504 in exponential form is:

99504 = 2⁴ × 3² × 691¹

Step-3: Factors of 99489

List of positive integer factors of 99489 that divides 99489 without a remainder.

1, 3, 13, 39, 2551, 7653, 33163

Step-4: Factors of 99504

List of positive integer factors of 99504 that divides 99489 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 691, 1382, 2073, 2764, 4146, 5528, 6219, 8292, 11056, 12438, 16584, 24876, 33168, 49752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99489 and 99504. The biggest common factor number is the GCF number.
So the greatest common factor 99489 and 99504 is 3.

Also check out the Least Common Multiple of 99489 and 99504