What is the Greatest Common Factor of 99208 and 99212?

Greatest common factor (GCF) of 99208 and 99212 is 4.

GCF(99208,99212) = 4

We will now calculate the prime factors of 99208 and 99212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99208 and 99212.

How to find the GCF of 99208 and 99212?

We will first find the prime factorization of 99208 and 99212. After we will calculate the factors of 99208 and 99212 and find the biggest common factor number .

Step-1: Prime Factorization of 99208

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

99208 = 2³ × 12401¹

Step-2: Prime Factorization of 99212

Prime factors of 99212 are 2, 17, 1459. Prime factorization of 99212 in exponential form is:

99212 = 2² × 17¹ × 1459¹

Step-3: Factors of 99208

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

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

Step-4: Factors of 99212

List of positive integer factors of 99212 that divides 99208 without a remainder.

1, 2, 4, 17, 34, 68, 1459, 2918, 5836, 24803, 49606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99208 and 99212. The biggest common factor number is the GCF number.
So the greatest common factor 99208 and 99212 is 4.

Also check out the Least Common Multiple of 99208 and 99212