What is the Greatest Common Factor of 30208 and 30223?

Greatest common factor (GCF) of 30208 and 30223 is 1.

GCF(30208,30223) = 1

We will now calculate the prime factors of 30208 and 30223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30208 and 30223.

How to find the GCF of 30208 and 30223?

We will first find the prime factorization of 30208 and 30223. After we will calculate the factors of 30208 and 30223 and find the biggest common factor number .

Step-1: Prime Factorization of 30208

Prime factors of 30208 are 2, 59. Prime factorization of 30208 in exponential form is:

30208 = 2⁹ × 59¹

Step-2: Prime Factorization of 30223

Prime factors of 30223 are 30223. Prime factorization of 30223 in exponential form is:

30223 = 30223¹

Step-3: Factors of 30208

List of positive integer factors of 30208 that divides 30208 without a remainder.

1, 2, 4, 8, 16, 32, 59, 64, 118, 128, 236, 256, 472, 512, 944, 1888, 3776, 7552, 15104

Step-4: Factors of 30223

List of positive integer factors of 30223 that divides 30208 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30208 and 30223. The biggest common factor number is the GCF number.
So the greatest common factor 30208 and 30223 is 1.

Also check out the Least Common Multiple of 30208 and 30223