What is the Greatest Common Factor of 30208 and 30218?

Greatest common factor (GCF) of 30208 and 30218 is 2.

GCF(30208,30218) = 2

We will now calculate the prime factors of 30208 and 30218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30208 and 30218.

How to find the GCF of 30208 and 30218?

We will first find the prime factorization of 30208 and 30218. After we will calculate the factors of 30208 and 30218 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 30218

Prime factors of 30218 are 2, 29, 521. Prime factorization of 30218 in exponential form is:

30218 = 2¹ × 29¹ × 521¹

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 30218

List of positive integer factors of 30218 that divides 30208 without a remainder.

1, 2, 29, 58, 521, 1042, 15109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30208 and 30218. The biggest common factor number is the GCF number.
So the greatest common factor 30208 and 30218 is 2.

Also check out the Least Common Multiple of 30208 and 30218