What is the Greatest Common Factor of 99204 and 99208?

Greatest common factor (GCF) of 99204 and 99208 is 4.

GCF(99204,99208) = 4

We will now calculate the prime factors of 99204 and 99208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99204 and 99208.

How to find the GCF of 99204 and 99208?

We will first find the prime factorization of 99204 and 99208. After we will calculate the factors of 99204 and 99208 and find the biggest common factor number .

Step-1: Prime Factorization of 99204

Prime factors of 99204 are 2, 3, 7, 1181. Prime factorization of 99204 in exponential form is:

99204 = 2² × 3¹ × 7¹ × 1181¹

Step-2: Prime Factorization of 99208

Prime factors of 99208 are 2, 12401. Prime factorization of 99208 in exponential form is:

99208 = 2³ × 12401¹

Step-3: Factors of 99204

List of positive integer factors of 99204 that divides 99204 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1181, 2362, 3543, 4724, 7086, 8267, 14172, 16534, 24801, 33068, 49602

Step-4: Factors of 99208

List of positive integer factors of 99208 that divides 99204 without a remainder.

1, 2, 4, 8, 12401, 24802, 49604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99204 and 99208. The biggest common factor number is the GCF number.
So the greatest common factor 99204 and 99208 is 4.

Also check out the Least Common Multiple of 99204 and 99208