What is the Greatest Common Factor of 19228 and 19239?

Greatest common factor (GCF) of 19228 and 19239 is 11.

GCF(19228,19239) = 11

We will now calculate the prime factors of 19228 and 19239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19228 and 19239.

How to find the GCF of 19228 and 19239?

We will first find the prime factorization of 19228 and 19239. After we will calculate the factors of 19228 and 19239 and find the biggest common factor number .

Step-1: Prime Factorization of 19228

Prime factors of 19228 are 2, 11, 19, 23. Prime factorization of 19228 in exponential form is:

19228 = 2² × 11¹ × 19¹ × 23¹

Step-2: Prime Factorization of 19239

Prime factors of 19239 are 3, 11, 53. Prime factorization of 19239 in exponential form is:

19239 = 3¹ × 11² × 53¹

Step-3: Factors of 19228

List of positive integer factors of 19228 that divides 19228 without a remainder.

1, 2, 4, 11, 19, 22, 23, 38, 44, 46, 76, 92, 209, 253, 418, 437, 506, 836, 874, 1012, 1748, 4807, 9614

Step-4: Factors of 19239

List of positive integer factors of 19239 that divides 19228 without a remainder.

1, 3, 11, 33, 53, 121, 159, 363, 583, 1749, 6413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19228 and 19239. The biggest common factor number is the GCF number.
So the greatest common factor 19228 and 19239 is 11.

Also check out the Least Common Multiple of 19228 and 19239