What is the Greatest Common Factor of 99208 and 99228?

Greatest common factor (GCF) of 99208 and 99228 is 4.

GCF(99208,99228) = 4

We will now calculate the prime factors of 99208 and 99228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99208 and 99228.

How to find the GCF of 99208 and 99228?

We will first find the prime factorization of 99208 and 99228. After we will calculate the factors of 99208 and 99228 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 99228

Prime factors of 99228 are 2, 3, 8269. Prime factorization of 99228 in exponential form is:

99228 = 2² × 3¹ × 8269¹

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 99228

List of positive integer factors of 99228 that divides 99208 without a remainder.

1, 2, 3, 4, 6, 12, 8269, 16538, 24807, 33076, 49614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99208 and 99228. The biggest common factor number is the GCF number.
So the greatest common factor 99208 and 99228 is 4.

Also check out the Least Common Multiple of 99208 and 99228