What is the Greatest Common Factor of 30228 and 30242?

Greatest common factor (GCF) of 30228 and 30242 is 2.

GCF(30228,30242) = 2

We will now calculate the prime factors of 30228 and 30242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30228 and 30242.

How to find the GCF of 30228 and 30242?

We will first find the prime factorization of 30228 and 30242. After we will calculate the factors of 30228 and 30242 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 30242

Prime factors of 30242 are 2, 15121. Prime factorization of 30242 in exponential form is:

30242 = 2¹ × 15121¹

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 30242

List of positive integer factors of 30242 that divides 30228 without a remainder.

1, 2, 15121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30228 and 30242. The biggest common factor number is the GCF number.
So the greatest common factor 30228 and 30242 is 2.

Also check out the Least Common Multiple of 30228 and 30242