What is the Greatest Common Factor of 30228 and 30241?

Greatest common factor (GCF) of 30228 and 30241 is 1.

GCF(30228,30241) = 1

We will now calculate the prime factors of 30228 and 30241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30228 and 30241.

How to find the GCF of 30228 and 30241?

We will first find the prime factorization of 30228 and 30241. After we will calculate the factors of 30228 and 30241 and find the biggest common factor number .

Step-1: Prime Factorization of 30228

Prime factors of 30228 are 2, 3, 11, 229. Prime factorization of 30228 in exponential form is:

30228 = 2² × 3¹ × 11¹ × 229¹

Step-2: Prime Factorization of 30241

Prime factors of 30241 are 30241. Prime factorization of 30241 in exponential form is:

30241 = 30241¹

Step-3: Factors of 30228

List of positive integer factors of 30228 that divides 30228 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 229, 458, 687, 916, 1374, 2519, 2748, 5038, 7557, 10076, 15114

Step-4: Factors of 30241

List of positive integer factors of 30241 that divides 30228 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30228 and 30241. The biggest common factor number is the GCF number.
So the greatest common factor 30228 and 30241 is 1.

Also check out the Least Common Multiple of 30228 and 30241