What is the Greatest Common Factor of 99504 and 99522?

Greatest common factor (GCF) of 99504 and 99522 is 18.

GCF(99504,99522) = 18

We will now calculate the prime factors of 99504 and 99522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99504 and 99522.

How to find the GCF of 99504 and 99522?

We will first find the prime factorization of 99504 and 99522. After we will calculate the factors of 99504 and 99522 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99522

Prime factors of 99522 are 2, 3, 19, 97. Prime factorization of 99522 in exponential form is:

99522 = 2¹ × 3³ × 19¹ × 97¹

Step-3: Factors of 99504

List of positive integer factors of 99504 that divides 99504 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

Step-4: Factors of 99522

List of positive integer factors of 99522 that divides 99504 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 97, 114, 171, 194, 291, 342, 513, 582, 873, 1026, 1746, 1843, 2619, 3686, 5238, 5529, 11058, 16587, 33174, 49761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99504 and 99522. The biggest common factor number is the GCF number.
So the greatest common factor 99504 and 99522 is 18.

Also check out the Least Common Multiple of 99504 and 99522