What is the Greatest Common Factor of 30228 and 30239?

Greatest common factor (GCF) of 30228 and 30239 is 11.

GCF(30228,30239) = 11

We will now calculate the prime factors of 30228 and 30239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30228 and 30239.

How to find the GCF of 30228 and 30239?

We will first find the prime factorization of 30228 and 30239. After we will calculate the factors of 30228 and 30239 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 30239

Prime factors of 30239 are 11, 2749. Prime factorization of 30239 in exponential form is:

30239 = 11¹ × 2749¹

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 30239

List of positive integer factors of 30239 that divides 30228 without a remainder.

1, 11, 2749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30228 and 30239. The biggest common factor number is the GCF number.
So the greatest common factor 30228 and 30239 is 11.

Also check out the Least Common Multiple of 30228 and 30239