What is the Greatest Common Factor of 34208 and 34228?

Greatest common factor (GCF) of 34208 and 34228 is 4.

GCF(34208,34228) = 4

We will now calculate the prime factors of 34208 and 34228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34208 and 34228.

How to find the GCF of 34208 and 34228?

We will first find the prime factorization of 34208 and 34228. After we will calculate the factors of 34208 and 34228 and find the biggest common factor number .

Step-1: Prime Factorization of 34208

Prime factors of 34208 are 2, 1069. Prime factorization of 34208 in exponential form is:

34208 = 2⁵ × 1069¹

Step-2: Prime Factorization of 34228

Prime factors of 34228 are 2, 43, 199. Prime factorization of 34228 in exponential form is:

34228 = 2² × 43¹ × 199¹

Step-3: Factors of 34208

List of positive integer factors of 34208 that divides 34208 without a remainder.

1, 2, 4, 8, 16, 32, 1069, 2138, 4276, 8552, 17104

Step-4: Factors of 34228

List of positive integer factors of 34228 that divides 34208 without a remainder.

1, 2, 4, 43, 86, 172, 199, 398, 796, 8557, 17114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34208 and 34228. The biggest common factor number is the GCF number.
So the greatest common factor 34208 and 34228 is 4.

Also check out the Least Common Multiple of 34208 and 34228